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Geometry

Learn to identify and use adjacent, vertical, complementary, supplementary, and linear pairs of angles. Understand the concept of perpendicular lines and determine what information can and cannot be assumed from a diagram.

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Geometry

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  1. Geometry Angle Relationship Section 1-7

  2. In this section you will learn to identify and use adjacent, vertical, complementary, supplementary, and linear pairs of angles. We will learn to identify and use perpendicular lines. And you will learn what information can and cannot be assumed from a diagram. …\GeoSec01_07.ptt

  3. • N P • • L • M P • • Q • N • L • M Adjacent Angles - Two angles in the same plane that have a common vertex and a common side, but nocommon interior points. Is  LMQ and  PMN adjacent angles? …\GeoSec01_07.ptt

  4. 60o 45o 30o 45o Are these two anglescomplementary? Are these two anglescomplementary? Are these two anglescomplementary? How about now? How about now? How about now? Complementary Angles - Two angles whose degree measures have a sum of 90. …\GeoSec01_07.ptt

  5. 60o 135o 120o 45o Are these two anglessupplementary? How about now? How about now? How about now? Supplementary Angles - Two angles whose degree measures have a sum of 180. Are these two anglessupplementary? Are these two anglessupplementary? …\GeoSec01_07.ptt

  6. Notes A line! Intersected by another. 1 2 4 3 Vertical Angles - Two nonadjacent angles formed by two intersecting lines. What kind of angles arem 1 andm  4? What kind of angles arem 4 andm 3? …\GeoSec01_07.ptt

  7. Notes A line! 9 12 Intersected by another. 1 10 11 2 4 7 3 8 5 Intersected by a third line. 6 Vertical Angles - Two nonadjacent angles formed by two intersecting lines. Which are the vertical angle pairs? …\GeoSec01_07.ptt

  8. 1 2 4 3 What do we need to do to convince you that vertical angles are congruent,? First, m 1 + m 4 = 180 by definition of a straight . Second, we see m 4 + m 3 = 180 by definition of a straight . Third, using algebra we note that m 1 andm 3 both equal 180 - m 4,  m 1 =m 3. Since m 1 =m 3, then  1   3 by the definition of congruence. …\GeoSec01_07.ptt

  9. Perpendicular Lines - Two lines that intersect to form a right angle. All have right angles at the intersection …\GeoSec01_07.ptt

  10. 2 1 • P • Q • R Linear Pair - A pair of adjacent angles who's non-common sides are opposite rays. What does it take for another angle to be a linear pair with this angle? What kind of angle is PQR? …\GeoSec01_07.ptt

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  12. Summary In this section you learned to identify and use adjacent, vertical, complementary, supplementary, and linear pairs of angles. We learned to identify and use perpendicular lines. And you learned what information can and cannot be assumed from a diagram. …\GeoSec01_07.ptt

  13. END OF LINE …\GeoSec01_07.ptt

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