Vertical Angles are two angles that are opposite
- Slides: 16
Vertical Angles are two angles that are opposite each other when two lines intersect. a b d c In this example, the vertical angles are: Vertical angles have the same measurement. So:
Using what you know about vertical angles, find the measure of the missing angles. b c a By Vertical Angles: By Supplementary Angles:
Adjacent Angles are two angles that are next to each other and have a common ray between them. This means that they are on the same plane and they share no internal points. A ABC is adjacent to CBD C B How do you know? ·They have a common side (ray CB) ·They have a common vertex (point B) D
Adjacent or Not Adjacent? You Decide! a b a a b Adjacent click to reveal Not click Adjacent to reveal b Not Adjacent click to reveal
34 Which two angles are adjacent to each other? A 1 and 4 B 2 and 4 1 4 6 3 2 5
A transversal is a line that cuts across two or more (usually parallel) lines. A P E Q F R A B Interactive Activity-Click Here
Corresponding Angles are on the same side of the transversal and on the same side of the given lines. In this diagram the corresponding angles are: Transvers al a c f e g h b d
36 Which are pairs of corresponding angles? A B C 2 and 6 3 and 7 1 and 8 1 3 4 6 5 7 8 2
Alternate Exterior Angles are on opposite sides of the transversal and on the outside of the given lines. l In this diagram the alternate exterior angles are: a c f e g b m d n h Which line is the transversal?
Alternate Interior Angles are on opposite sides of the transversal and on the inside of the given lines. In this diagram the alternate interior angles are: l a c f e g h b m d n
Same Side Interior Angles are on same sides of the transversal and on the inside of the given lines. l In this diagram the same side interior angles are: a c f e g h b m d n
40 Are angles 2 and 7 alternate exterior angles? A Yes B No l 1 5 2 6 4 8 3 m 7 n
Special Case!!! If parallel lines are cut by a transversal then: ·Corresponding Angles are congruent ·Alternate Interior Angles are congruent ·Alternate Exterior Angles are congruent n SO: 1 5 2 6 4 8 3 m 7 l
52 Given the measure of one angle, find the measures of as many angles as possible. Which angles are congruent to the given angle? Type one answer into your responder. l 4 5 6 2 1 m 7 8 n
53 Given the measure of one angle, find the measures of as many angles as possible. What are the measures of the remaining angles? l 4 5 6 2 1 m 7 8 n
54 Given the measure of one angle, find the measures of as many angles as possible. Which angles are congruent to the given angle? Type one of the angles into the responder. l 3 1 5 2 8 4 m 7 n
- Vertical angles
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- Two angles whose sides form two pairs of opposite rays. *
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