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Geometry

Geometry. Day 5. Today’s Agenda. Angle Definitions Adjacent angles Complementary angles Supplementary angles Vertical angles Constructions Copying a line segment Bisecting a line segment Copying an angle Bisecting an angle Creating a perpendicular line. Adjacent Angles.

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Geometry

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  1. Geometry Day 5

  2. Today’s Agenda • Angle Definitions • Adjacent angles • Complementary angles • Supplementary angles • Vertical angles • Constructions • Copying a line segment • Bisecting a line segment • Copying an angle • Bisecting an angle • Creating a perpendicular line

  3. Adjacent Angles • Two angles with a common vertex, a common side and no common interior points. The two angles are in the same plane.

  4. Which angles are adjacent?

  5. Opposite rays • If two rays share an end point, and point in the opposite directions, they are opposite rays.

  6. SPECIAL PAIRS OF ANGLES • Complementary : Two angles whose sum is 90 • If complementary angles are adjacent, they will form a right angle. • Supplementary: Two angles whose sum is 180 • If supplementary angles are adjacent, they will form a straight line. • If supplementary angles are adjacent, they are a linear pair.

  7. Vertical Angles Two angles formed at the intersection of two lines. The vertical angles are across from each other. Vertical angles are always congruent. (More on this later.)

  8. Perpendicular lines • Lines, rays, or line segments that form right angles are called perpendicular. • All four angles are right. • Adjacent angles arecongruent. • The symbol for perpendicularis . (e.g., l  m). l m

  9. Class Assignment • Runway Angles activity

  10. Today’s Agenda • Constructions • Copying a line segment • Copying an angle • Bisecting an angle • Bisecting a line segment • Creating a perpendicular line

  11. Constructions • Copying a line segment • Copying an angle • Bisecting an angle • A line, ray, or line segment that bisects an angle is called an angle bisector. • Creating a perpendicular line • Through a point on the line • Through a point not on the line • Bisecting a line segment • If a line, ray, or line segment bisects a segment and is perpendicular to it, it is called a perpendicular bisector.

  12. Homework #3 • Workbook, p. 10

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