1 / 27

Chapter 3

Angles. Chapter 3. Angles. Section 3-1. Angle – two rays with a common endpoint Vertex – common endpoint Sides – rays that make up the angle. Interior – all points between the two rays of the angle Exterior – all points outside of the two rays of the angle

chance
Download Presentation

Chapter 3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angles Chapter 3

  2. Angles Section 3-1

  3. Angle – two rays with a common endpoint Vertex – common endpoint Sides – rays that make up the angle

  4. Interior – all points between the two rays of the angle Exterior – all points outside of the two rays of the angle Points on the angle are not in the interior or the exterior Interior and exterior

  5. The Angle Addition Postulate Section 3-3

  6. For any angle PQR, if A is in the interior of PQR, then PQA + AQR = PQR. Postulate 3-3Angle addition postulate

  7. The ray with endpoint at the vertex of the angle, extending into the interior of the angle, that separates the angle into two angles of equal measure. Angle Bisector

  8. Adjacent Angles and Linear Pairs of Angles Section 3-4

  9. Angles that share a common side and have the same vertex, but have no interior points in common. Adjacent angles

  10. Two angles form a linear pair if and only if they are adjacent and their noncommon sides are opposite rays. Linear pair

  11. Complementary and Supplementary Angles Section 3-5

  12. Two angles are complementary if and only if the sum of their measures is 90. If two angles are complementary, each is the complement of the other Complementary angles

  13. Two angles are supplementary if and only if the sum of their measures is 180. If two angles are supplementary, each is the supplement of the other. Supplementary angles

  14. Find the complement and the supplement of each angle given. 74° 42 ° Examples

  15. Angles A and B are complementary. If A=x and B=5x, find x. Then find A and B. Examples

  16. If two angles form a linear pair, then they are supplementary. Postulate 3-4

  17. Congruent Angles Section 3-6

  18. Two angles are congruent if and only if they have the same degree measure. Congruent Angles

  19. Two angles are vertical if and only if they are two nonadjacent angles formed by a pair of intersecting lines. Vertical angles

  20. Vertical angles are congruent. Theorem 3-1

  21. If two angles are congruent, then their complements are congruent. If two angles are congruent, then their supplements are congruent. Theorems 3-2 and 3-3

  22. If two angles are complementary to the same angle, then they are congruent. If two angles are supplementary to the same angle, then they are congruent. Theorems 3-4 and 3-5

  23. If two angles are congruent and supplementary, then each is a right angle. Theorem 3-6

  24. All right angles are congruent. Theorem 3-7

  25. Perpendicular Lines Section 3-7

  26. Lines that intersect to form a right angle Perpendicular Lines

  27. If two lines are perpendicular, then they form four right angles. Theorem 3-8

More Related