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# Alternate Exterior Angles

To find exterior angles, look in the space above and below the crossed lines. To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal. We hope you said ∠1 ∠ 1, ∠2 ∠ 2, ∠7 ∠ 7, and ∠8 ∠ 8 are the exterior angles The alternate exterior angles are the opposing pair of exterior angles formed by the transversal and the two lines. In the diagram below, transversal l intersects lines m and n. ∠1 and ∠4 is one pair of alternate exterior angles, and the other pair is ∠2 and ∠3 Alternate exterior angles are the pairs of angles that are formed when a transversal intersects two parallel or non-parallel lines. They are found on the outer side of two parallel lines but on opposite side of the transversal. When the two lines are parallel the alternate exterior angles are found to be equal

Alternate exterior angles are congruent if the lines crossed by the transversal are parallel. If alternate exterior angles are congruent, then the lines are parallel. At each intersection, the corresponding angles lie at the same place. The alternate exterior angles that lie outside the lines are intercepted by the transversal If the alternate exterior angles formed by two lines, which are cut by a transversal, are congruent, then the lines are parallel. Hence, in the above figure, if it is given that $$\angle 1= \angle 2$$ then line a $$\left | \right |$$ line b. Consecutive Exterior Angles. Apart from alternate exterior angles, there is one more type of exterior. Alternate Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on opposite sides of the transversal. Try this Drag an orange dot at A or B. Notice that the two alternate exterior angles shown are equal in measure if the lines PQ and RS are parallel Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

When two lines are crossed by another line (the Transversal), a pair of angles • on the outer side of those two lines • but on opposite sides of the transversal are called Alternate Exterior Angles ∠3, ∠4, ∠5, ∠6 are the alternate interior angles Alternate Exterior Angles - Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. From the above-given figure, ∠1, ∠2, ∠7, ∠8 are the alternate exterior angles On parallel lines, alternate (or Z) angles are equal. Look at the blue lines demonstrating the shape - the 'Z' may be back to front, as in the second example, but the principle is the same

### Alternate Exterior Angles (Definition, Theorem, Examples

Definition of Alternate Exterior Angles When you have two lines and a third line crossing through them, the pairs of angles that are outside both lines and on alternating sides of the third line.. Alternate exterior angles are congruent, so set their measures equal to each other and solve for x: which means they add up to 180 degrees. Use this info to solve for . About the Book Author. Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math. Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located outside the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Alternate exterior angles are congruent, meaning they have equal measure Angles 2 and 7 above, as well as angles 3 and 6 are examples of alternate interior angles. Similarly, we also have alternate exterior angles that are located outside of the two intersected lines..

Alternate Exterior Angles Exterior angles are also created by a transversal line crossing 2 straight lines. Similar to before, angles 1, 2, 7 and 8 are EXTERIOR angles. Angles 2 and 7 are ALTERNATE, and angles 1 and 8 are ALTERNATE This video is an explanation of the types of angles formed by a TRANSVERSAL line through two PARALLEL lines. The types of angles formed are: CORRESPONDING an.. Alternate angles are the four pairs of angles that: have distinct vertex points, lie on opposite sides of the transversal and both angles are interior or both angles are exterior  Alternate exterior angles are congruent if the lines intercepted by the transversal are parallel. The lines are parallel if alternate interior, alternate exterior, or corresponding angles are congruent. Corresponding angles lie in the same position at each intersection. Alternate interior angles lie between the lines cut by the transversal Alternate Exterior Angles When two lines are crossed by a transversal, the opposite angle pairs on the outside of the lines are alternate exterior angles. If the two lines are parallel then the alternate exterior angles are congruent Use alternate exterior angles to determine congruency and the presence of parallel lines Watch more videos on http://www.brightstorm.com/math/geometrySUBSCRIBE FOR All OUR VIDEOS!https://www.youtube.com/subscription_center?add_user=brightstorm2VI.. Alternate Interior Angles Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points

### Alternate exterior angles - Mat

1. Alternate angle definition is - one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines:
2. are alternate exterior angles congruent or supplementary. By January 22, 2021 Uncategorized 0 comments.
3. Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h
4. When two lines are crossed by a transversal, the opposite angle pairs on the outside of the lines are an alternate exterior angle. One way to identify an alternate exterior angle is to see that they are the vertical angles of the alternate interior angle. An alternate exterior angle is equal to one another. What are alternate angles in maths
5. In today's lesson, we will prove the alternate interior theorem, stating that interior alternating angles and exterior alternating angles between parallel lines are congruent.. Prove: Interior alternating angles and exterior alternating angles are congruent (that is, they have the same measure of the angle.
6. e congruency and the presence of parallel lines. . When the two lines being crossed are Parallel Lines the Alternate Exterior Angles are equal. Lily2018. Code to add this calci to your website. The theorem says: The Alternate Exterior Angles Theorem states that if.
7. Alternate exterior angles are equal to one another. One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. In the diagram above a.

★★★ Correct answer to the question: Name 2 alternate exterior angles - edu-answer.co The two types of problems you will encounter are identifying and measuring problems. Angles A and B are complementary. All other trademarks and copyrights are the property of their respective owners. Khan Academy is a 501(c)(3) nonprofit organization. You can tell, just by looking at the picture, that $$\\angle A and \\angle B$$ are not congruent. When you have two lines and a third line. are alternate exterior angles congruent or supplementar About. Who We Are; What We Do; The Management Team; Global; Solutions. Business Systems Consultin are alternate exterior angles congruent or supplementary. Posted on January 21, 2021 by.

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. determine the length of the radius. 10 4 16 8 my flower basket delivers flowers within a 20 mile radius of their store. if this area is represented graphically, with my flower basket located at (5, 2), what is the equation that represents the delivery area Quiz & Worksheet - Alternate Interior Angles | Study.com #99929 Answer to November 17, 2003 Problem of the Week #99930 Types of Angles: Vertical, Corresponding, Alternate Interior. Alternate Interior Angles Theorem What it says: If a transversal intersects two parallel lines, then alternate interior angles are congruent. What it means: When a transversal, the line that cuts through, intersects with two parallel lines, it creates eight angles, four of which are on the inside, or interior, of the parallel lines

Alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. Learn how to identify corresponding angles alternate interior angles alternate exterior angles and consecutive interior angles in this free math video tut. One way to identify alternate exterior angles is to see. The two green angles (at A & C) are alternate interior angles, and so they are equal. The two purple angles (at A & B) are alternate interior angles, and so they are equal. The straight angle at A is 180 and is the sum of the green, purple and red angles. But the angles in the triangle are these green, purple and red angles Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal. LO: To identify corresponding, alternate and co-interior angle Know: That angles are created when two lines intersect each other. Understand: That angles can be classified by their location of intersection. Do alternate exterior angles. Make a conjecture about the relationship of the measures of the highlighted angles Angles parallel lines transversals khan academy alternate interior and exterior angles proof you angles part 3 khan academy ca geometry exterior angles khan academy. Whats people lookup in this blog: Alternate Interior And Exterior Angles Khan Academy; Uncategorized. Post navigatio Alternate Exterior Angles are two angles that are on the exterior of and , but on opposite sides of the transversal. and are alternate exterior angles. [Figure1] Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent

### Alternate Exterior Angles - Definition & Theorem with Example

Congruent Alternate Interior Angles. The Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.. A theorem is a proven statement or an accepted idea that has been shown to be true.The converse of this theorem, which is basically the opposite, is also a proven statement: if two lines are cut by a transversal and. Given that the two alternate interior angles (4x - 19)° and (3x + 16)° are congruent. Find the value of x and the values of the two alternate interior angles. According to the interior angle theorem, alternate interior angles are equal when the transversal crosses two parallel lines

∠ L A R is an alternate interior angle with ∠ A R N ∠ I A R is an alternate interior angle with ∠ A R O. Alternate Interior Angles Theorem. Once you can recognize and break apart the various parts of parallel lines with transversals, you can use the Alternate Interior Angles Theorem to speed up your work Alternate Exterior Angles - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are 3 parallel lines and transversals, Alternate angles work write the missing alternate, Name date congruence geometrical theorems, Exterior alternate angles a, Name period gl lines transversals, Angle pairs in two lines cut by a transversal, Parallel lines transversals 8th.

### Alternate Exterior Angles - Explanation & Example

• Definition of alternate exterior angles with a great picture. Military Families. The official provider of online tutoring and homework help to the Department of Defense. Check Eligibility. Higher Education. Improve persistence and course completion with 24/7 student support online
• Alternate Exterior Angles Theorem The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent . So, in the figure below, if k ∥ l , then ∠ 1 ≅ ∠ 7 and ∠ 4 ≅ ∠ 6
• As corresponding angles, you can have both alternate interior angles and alternate exterior angles. In the figure given below;-Example: P and Q are corresponding angles. (image will be uploaded soon) Different types of Angles. Acute angle: An angle that measures any value between 0° and 90°.

### Alternate Exterior Angles definition - Math Open Referenc

Alternate Interior Angles. Tags: Question 15 . SURVEY . 120 seconds . Q. Angles inside a pair of lines on the opposite sides of a transversal and are congruent are called _____. answer choices . Vertical angles. Corresponding Angles. Supplementary Angles. Alternate Interior Angles. Tags alternate exterior angles Eight different angles can be formed when a line t (transversal) intersects two other lines m and n at different points. If two angles lie outside m and n on opposite sides of t, such as 2 and 7, they are called alternate exterior angles. Related Terms: angle, transversal. Alternate Exterior Angles. Alternate Interior Angles. Corresponding Angles. Alternate Interior Angles. Same Side Interior Angles. Alternate Interior Angles - A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow.com - id: 22b91a-ZDc1 Alternate exterior angles areOutsidel& mIn the opposite side of transversal i.e alternate∠2 & ∠7 are alternate exterior angles∠1 & ∠8 are alternate exterior anglesFor parallel lines,Alternate exterior angles are equal.∠2 = ∠7& ∠1 = ∠

Alternate interior angles are formed by a transversal intersecting two parallel lines. They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure Angles 1,2,6,7 are exterior angles Alternate interior angles: Pairs of interior angles on opposite sides of the transversal. For instance, angle 3 and angle 5 are alternate interior angles. Angle 4 and angle 8 are also alternate interior angles. Alternate exterior angles: Pairs of exterior angles on opposite sides of the transversal. Angle 2 and angle 7 are alternate exterior angles Apr 19, 2019 - Explore Wrestle with Math's board Alternate Interior Angles, followed by 644 people on Pinterest. See more ideas about alternate interior angles, middle school math, google classroom math Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal CCSS.MATH.CONTENT.HSG.CO.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints

Which pair of angles are alternate exterior angles? answer choices . Angle 7 and Angle 4. Angle 2 and Angle 6. Angle 8 and Angle 1. Angle 2 and Angle 8. Tags: Question 3 . SURVEY . 30 seconds . Q. Name the angle relationship. answer choices . Alternate Interior. Alternate Exterior. Corresponding. Vertical Angles. Tags: Question 4 Alternate Exterior Angles The term alternate exterior angles is often used when two lines are cut by a third line, a transversal . In the figure above, line t is a transversal cutting lines k and l , and there are two pairs of alternate exterior angles: ∠ 1 and ∠ 7 ∠ 4 and ∠ Alternate exterior angles are formed by a transversal intersecting two parallel lines. They are located outside the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Alternate exterior angles are congruent, meaning they have equal measure

Alternate interior angles are the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The pair of blue and pink angles denotes alternate interior angles. These pairs are alternate interior angles. Image will be uploaded soon. Note: Alternate interior angle generally forms a z. Alternate Exterior Angles angles on opposite sides of a transversal that crossess parall two or more angles whose angle measures add up to 90 degrees two or more angles whose angle measures add up to 180 degree Alternate Exterior Angles : When two parallel lines are intersected by a transversal, the pair of angles formed outside the parallel lines is called alternate exterior angles. Example : Algorithm Alternate interior angles . Learn what is alternate exterior angles. Also find the definition and meaning for various math words from this math. Alternate interior angles (الإنجليزية to اليابانية translation). Translate Alternate interior angles to الإنجليزية online and download now our free translation software to use at any time

Alternate exterior angles are exterior (outside the parallel lines), and they alternate sides of the transversal. Notice that, like the alternate interior angles, these angles are not adjacent. When the lines are parallel, the alternate exterior angles are equal in measure. m∠1 = m∠2 and m∠3 = m∠ In this resource from CK-12 we look at alternate exterior angles and how to use them to determine whether or not lines are parallel alternate interior angles in a sentence - Use alternate interior angles in a sentence 1. First, if a transversal intersects two parallel lines, then the alternate interior angles are congruent. 2. As the proof only requires the use of Proposition 27 ( the Alternate Interior Angle Theorem ), it is a valid construction in absolute geometry. click for more sentences of alternate interior angles.. Alternate interior angles areBetween lines i.e interiorIn the opposite side of transversal i.e alternate∠3 & ∠6 are alternate interior angles∠4 & ∠5 are alternate interior anglesFor parallel lines,Alternate interior angles are equal.∠3 = ∠6& ∠4 = ∠ Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 1) y x corresponding 2) y x alternate exterior 3) y x corresponding 4) y x consecutive interior 5) y x alternate interior 6) y x alternate exterior 7) y x alternate interior 8) y x alternate exterior-1 alternate exterior angles congruent or supplementary Posted on January 21, 2021 by. ### Alternate Exterior Angles (Definition & Example) Σ

Complementary Angles. Angles that are on the opposite side of the transversal are called alternate angles. 1. Angle (2x + 26) ° and (3x - 33) ° are alternate interior angles. Find and label a second . The angles are congruent. Corresponding angles. Solution. Whats people lookup in this blog: Alternate Interior Angles Are Congruent In Parallelogram Alternate Exterior Angles. Alternate. What is the measure of 1 exterior angle of a regular dodecagon (12 sided polygon)? Angle Relationships and Equations. The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°. Angle 1 and Angle are alternate exterior angles. 8th grade. Consider, for instance, the pentagon pictured below. Find equation of the line shown Here is a number puzzle that uses math. Example. In these figures, angles 2 and 8 are alternate exterior angles. When lines are parallel, such as lines d and e, the alternate exterior angles are congruent.. In the figure on the right, angles 2 and 8 have the same measure, as lines d and e are parallel lines. These angles are congruent Let's say angle three is 50 degrees so we know angle 4 will also be 50 degrees because alternate exterior angles are congruent. Now we can also figure one and two since angle 3 is 50 and 1 and 3 are linear pairs and supplementary so I take 50 and subtract from 180 and that gives me 130 degrees

### Alternate Exterior Angles Definition (Illustrated

So angle 2 down here will also be 130 degrees since they are alternate exterior angles and a linear pair with angle 4. So let's look at the rules of alternate exterior angles. You have two lines that are parallel and we have a transversal so we know the alternate exterior angles have to be congruent to each other Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. Examples If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles Click and drag around the points below to explore and discover the rule for parallel lines cut by a transversal on your own. You can click and drag points A, B, and C. You can create a customized shareable link (at bottom) that will remember the exact state of the app--which angles are selected and where the points are, so that you can share your it with others ### Alternate Angles - Definition, Types, and Theore

Over the course of 18 problems, learners identify angles as complementary, supplementary, vertical or adjacent. They name relationships in angles such as alternate interior, corresponding, and alternate exterior angles. They apply the.. The sum of the external angles of any simple convex or non-convex polygon is 360°. The measure of the exterior angle at a vertex is unaffected by which side is extended: the two exterior angles that can be formed at a vertex by extending alternately one side or the other are vertical angles and thus are equal. Extension to crossed polygon The angles opposite to the sides of the transversal line and which is exterior is Alternate Exterior Angles. Question 3: What is an example of a corresponding angle? Answer: You already know that the transversal is when a line crosses two other lines, similarly, the angles in matching corners are referred to as corresponding angles Answer: Interior angles refer to all those angles that are inside a shape. On the other hand, the exterior angle is an angle that is made by the side of the shape and a line drawn out from an adjacent side. Furthermore, the exterior angle is equal to the sum of the non-adjacent interior angle. Question 5: Do interior angles add up to 180º

### Understand alternate, corresponding and co-interior angles

The and are the alternate exterior angles.. Further explanation: If two parallel lines intersected by a third line called as a transversal line, it froms eight angles as shown in Figure 1.. The eight angles will together form four pairs of corresponding angles.. and constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the. alternate exterior angles • alternate exterior angles are created when a transversal intersects parallel lines. • they lie outside the parallel lines on the opposite sides of the transversal. EXAMPLES The alternate exterior angles are the angles on the outside that are opposite each other. 1 and 4 are alternate exterior angles. 5 and 8 are alternate exterior angles. The alternate interior angles are the angles on the inside that are opposite each other. 2 and 3 are alternate interior angles

### Alternate Exterior Angles: Definition & Theorem - Video

D. Use the Alternate Interior Angles Converse Theorem. 13. Use the diagram below in the following exercise. How would you show that the lines b and c are parallel? A. Use the Consecutive Interior Angles Converse Theorem. B. Use the Alternate Exterior Angles Converse Theorem. C. Use the Alternate Interior Angles Converse Theorem Identifying Interior and Exterior Angles. Familiarize students with the locations of alternate interior, alternate exterior, same-side interior, and same-side exterior angles formed by parallel lines being cut by a transversal, with this printable practice set Angle 1 and angle 5 are angles alternate exterior alternate interior supplementary right. Answers: 3 Show answers Another question on Mathematics. Mathematics, 21.06.2019 20:00. Apatient is to be given 35 milligrams of demerol every 4 hours. you have demerol 50 milligrams/milliliter in stock. how many milliliters should be given per dose?. Next, because angles EDH and DHG are alternate angles, we get \text{angle DHG } = 76\degree. Then, because angles DHG, DHE, and EHJ are angles on a straight line and angles on a straight line add to 180\degree, we get \text{angle DHE } = 180 - 76 - 39 = 65\degree . Finally, because angle DHE and angle x are vertically opposite angles, we get . x = 65\degree  ### Alternate Interior and Exterior Angles —Practice Geometry

Translation for: 'alternate exterior angles' in English->Vietnamese dictionary. Search nearly 14 million words and phrases in more than 470 language pairs alternate exterior angles. Angles located outside a set of parallel lines and on opposite sides of the transversal. alternate interior angles. Angles located inside a set of parallel lines and on opposite sides of the transversal. angle bisector. A ray that divides an angle into two congruent angles When two lines are crossed by a transversal (a third line that crosses both lines), a number of different pairs of angles are formed. The angles formed by the transversal and the lines that are on opposite sides of the transversal, but on the outside of the two lines are called alternate exterior angles.. Angles $$a$$ and $$b$$ in the diagram on the left are alternate exterior angles Angles formed by a transversal worksheets angles formed by a transversal worksheets 3 parallel lines and transversals kuta software geometry clark angles from parallel lines cut by a transversal. Whats people lookup in this blog: Alternate Interior And Exterior Angles Worksheet Pd Alternate exterior angles are exterior (outside the parallel lines), and they alternate sides of the transversal. Notice that, like the alternate interior angles, these angles are not adjacent. When the lines are parallel, the alternate exterior angles. are equal in measure. m∠1 = m∠2 and m∠3 = m∠4

### Alternate Exterior Angles (examples, solutions, worksheets

Alternate Interior Angles. When a line intersects a pair of parallel lines alternate interior angles are formed. Alternate interior angles are equal to each other. One way to find the alternate interior angles is to draw a zigzag line on the diagram. In the above diagrams, d and e are alternate interior angles. Similarly, c and f are also alternate interior angles When two parallel lines are cut by another line, called a transversal, two pairs of alternate interior anglesare created. (Interior means on the inside, or between, the two parallel lines.) For example, in this figure angles 3 and 5 are alternate interior angles and angles 4 and 6 are also alternate interior angles Correct answers: 3 question: Transversal t cuts parallel lines r and s as shown in the diagram. which theorem does the diagram illustrate? a) alternate interior angles theorem b) alternate exterior angles theorem c) same-side interior angles theorem d) corresponding angles theore Welcome to The Exterior Alternate Angle Relationships (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills.com. This math worksheet was created on 2013-07-14 and has been viewed 62 times this week and 262 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true. The converse of this theorem, which is basically the opposite, is also a proven statement: if two lines are. 6-3 Alternate Interior, Alternate Exterior, and Corresponding Angles. Powered by Create your own unique website with customizable templates. Get Starte By alternate interior angle theorem, the alternate interior angles are equal. We use this fact to find the alternate interior angles. Example. Sixth Avenue runs perpendicular to both 1 st Street and 2 nd Street, which are parallel.. However, Maple Avenue makes a $$40^\circ$$ angle with 2 nd Street. What is the measure of angle $$x$$ Angles and parallel lines PowerPoint guide on the rules of alternate, corresponding and opposite angles: angles in a triangle: exterior and interior angles. Examples and proofs given. Read mor The alternate interior angles are the opposing pair of interior angles formed by the transversal and the two lines. In the diagram below, transversal l intersects lines m and n. ∠1 and ∠4 are a pair of alternate interior angles and ∠2 and ∠3 are another pair. If two lines in a plane are cut by a transversal so that any pair of alternate. Alternate Interior Angles. When 2 lines are crossed by another line (the Transversal), Alternate Interior Angles are a pair of angles on the inner side of each of those 2 lines but on opposite sides of the transversal The alternate interior angles are right angles. By Proposition 8.14 all right angles are congruent, so the Alternate Interior Angle Theorem applies. m and n are non-intersecting. Corollary 2: If P is a point not on , then the perpendicular dropped from P to is unique. Proof: Assume that m is a perpendicular to through P, intersecting at Q

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