Proving Angles Congruent Quiz

Vertical Angles

ANSWER : 2 angles whose sides form 2 pairs of opp. rays

Adjacent angles

ANSWER : 2 coplanar angles w a common endpt and no common interior pts.

Complementary angles

ANSWER : 2 angles whose measurements have a sum of 90 degrees

Supplementary angles

ANSWER : 2 angles whose measurements have a sum of 180 degrees.

Vertical angle theorem

ANSWER : Vertical angles are congruent

Theorem 2-4

ANSWER : All right angles are congruent

Theorem 2-5

ANSWER : If 2 right angles are congruent and supplementary then each is a right angle

Conditional Statement

ANSWER : if, then

Hypothesis

ANSWER : follows the “if” part

Conclusion

ANSWER : follows the “then” part

1. Find m\angle AEBm∠AEB

40
28
120
122(CORRECT ANSWER)

2. What is the value of x?

150
30(CORRECT ANSWER)
145
15

3. Find m\angle AEB.m∠AEB.

150
30
130(CORRECT ANSWER)
50

4. Find ∠NOQ

31(CORRECT ANSWER)
59
180
149

5. ∠3 and ∠1 are _____________

Nothing(CORRECT ANSWER)
Vertical
Complementary
Supplementary

6. ∠1 and ∠2 are _____________

Complementary
Supplementary
Adjacent(CORRECT ANSWER)
Vertical

7. Find X

28
5
55(CORRECT ANSWER)
40

8. Find ∠ AOC

130
50(CORRECT ANSWER)
40

9. ∠7 and ∠8 are _______________

Vertical
Nothing(CORRECT ANSWER)
Adjacent
Supplementary

10. Find the missing angle.

43
47
57
67(CORRECT ANSWER)

11. Find the value of x.

28(CORRECT ANSWER)
30
32
90

12. Find m\angle ECDm∠ECD

13
64(CORRECT ANSWER)
90
180

13. Find m\angle AEBm∠AEB

40
28
120
122(CORRECT ANSWER)

14. Find the value of x.

18.75
21.25(CORRECT ANSWER)
80
158.75

15. Find the value of y.

16
32
38(CORRECT ANSWER)
142

16. Find m\angle Am∠A if \angle A∠A is congruent to its supplement, \angle B.∠B.

45
90(CORRECT ANSWER)
180
impossible to determine

17. Find m\angle Am∠A if \angle A∠A is twice as large as its complement, \angle B.∠B.

30
45
60(CORRECT ANSWER)
90

18. Fill in the reason for number 3.

Angle Addition Postulate
Addition Property (CORRECT ANSWER)
Definition of congruent angles
Given