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Angles and Bisectors.

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Presentation on theme: "Angles and Bisectors."— Presentation transcript:

1 Angles and Bisectors

2 Complementary Angles Two or more angles are Complementary if the sum of their measures is __90______.

3 Supplementary Angles Two or more angles are Supplementary if the sum of their measures is __180______.

4 Adjacent Angles Adjacent Angles are two angles that share a common____vertex___ and ___side_____ , but have no common interior points.

5 Linear Pair Two adjacent angles are a Linear Pair if their noncommon sides are opposite rays.

6 Vertical Angles Two angles are Vertical Angles if their sides form two pairs of opposite rays. Vertical Angles are Congruent.

7

8 Bisect Divides a segment or angle into two equal parts. Angle Bisector

9 Midpoint of a segment: The midpoint of a segment is the point that bisects, or divides, the segment into two congruent segments. Example: C is the midpoint of and

10 Segment bisector: Example 6: BC = 3x + 2 and CD = 5x – 10. Solve for x. What is the length of BD?

11 Segment bisector: Example 7: AC = 5x - 16 and CF = 2x – 4. Solve for x. What is the length of AF?


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