Vertical Angles are two angles that are opposite

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Vertical Angles are two angles that are opposite each other when two lines intersect.

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.

Using what you know about vertical angles, find the measure of the missing angles. b c a By Vertical Angles: By Supplementary Angles:

30 Are angles 2 and 4 vertical angles? A B Yes No 2 1

30 Are angles 2 and 4 vertical angles? A B Yes No 2 1 3 4

31 Are angles 2 and 3 vertical angles? A Yes B No 2 3

31 Are angles 2 and 3 vertical angles? A Yes B No 2 3 1 4

32 If angle 1 is 60 degrees, what is the measure of angle 3?

32 If angle 1 is 60 degrees, what is the measure of angle 3? You must be able to explain why. 2 1 3 4

33 If angle 1 is 60 degrees, what is the measure of angle 2?

33 If angle 1 is 60 degrees, what is the measure of angle 2? You must be able to explain why. 1 2 4 3

Adjacent Angles are two angles that are next to each other and have a

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

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

34 Which two angles are adjacent to each other? A 1 and 4 B 2 and 4 1 4 6 3 2 5

35 Which two angles are adjacent to each other? A B 3 and 6

35 Which two angles are adjacent to each other? A B 3 and 6 5 and 4 2 4 1 3 6 5

A transversal is a line that cuts across two or more (usually parallel) lines.

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

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

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

37 Which are pairs of corresponding angles? A B C 2 and 6 3

37 Which are pairs of corresponding angles? A B C 2 and 6 3 and 1 1 and 8 6 2 4 8 1 7 3 5

38 Which are pairs of corresponding angles? A B C 1 and 5 2

38 Which are pairs of corresponding angles? A B C 1 and 5 2 and 8 4 and 8 5 7 1 2 3 4 6 8

39 Which pair of angles are not corresponding? A B C D E 5

39 Which pair of angles are not corresponding? A B C D E 5 4 1 8 2 7 6 3

Alternate Exterior Angles are on opposite sides of the transversal and on the outside

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

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

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

40 Are angles 2 and 7 alternate exterior angles? A Yes B No l 1 5 2 6 4 8 3 m 7 n

41 Are angles 3 and 6 alternate exterior angles? A Yes B No l

41 Are angles 3 and 6 alternate exterior angles? A Yes B No l 1 5 2 6 3 m 7 4 n 8

42 Are angles 7 and 4 alternate exterior angles? A Yes B No l

42 Are angles 7 and 4 alternate exterior angles? A Yes B No l 1 5 2 6 4 8 3 m 7 n

43 Which angle corresponds to angle 5? A 3 B 4 l C 2

43 Which angle corresponds to angle 5? A 3 B 4 l C 2 D 6 1 3 5 2 6 8 4 m 7 n

44 Which pair of angles are same side interior? A B C D 3,

44 Which pair of angles are same side interior? A B C D 3, 4 4, 7 2, 4 6, 1 l 1 5 2 6 8 4 3 m 7 n

45 What type of angles are 3 and 6? A B C D E

45 What type of angles are 3 and 6? A B C D E Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Vertical Angles Same Side Interior l 3 1 5 2 6 8 4 m 7 n

46 What type of angles are 5 and 2? A B C D E

46 What type of angles are 5 and 2? A B C D E Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Vertical Angles Same Side Interior l 3 1 5 2 6 8 4 m 7 n

47 What type of angles are 5 and 6? A B C D E

47 What type of angles are 5 and 6? A B C D E Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Vertical Angles Same Side Interior l 3 1 5 2 6 8 4 m 7 n

48 Are angles 5 and 2 alternate interior angles? A Yes B No l

48 Are angles 5 and 2 alternate interior angles? A Yes B No l 3 1 5 2 6 8 4 m 7 n

49 Are angles 5 and 7 alternate interior angles? A Yes B No l

49 Are angles 5 and 7 alternate interior angles? A Yes B No l 3 1 5 2 6 8 4 m 7 n

50 Are angles 7 and 2 alternate interior angles? A Yes B No l

50 Are angles 7 and 2 alternate interior angles? A Yes B No l 3 1 5 2 6 8 4 m 7 n

51 Are angles 3 and 6 alternate interior angles? A Yes B No l

51 Are angles 3 and 6 alternate interior angles? A Yes B No l 3 1 5 2 6 8 4 m 7 n

Special Case!!! If parallel lines are cut by a transversal then: ·Corresponding Angles are

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

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

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

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

55 Given the measure of one angle, find the measures of as many angles

55 Given the measure of one angle, find the measures of as many angles as possible. What are the measures of the remaining angles? l 3 1 5 2 8 4 m 7 n