Name: ______

Date: ______Period: _____

Homework Chapter 2 Review

1. If , and angles 1, 2, and 3 have a ratio of 1:3:1. What are the measures of the three angles?

2. On a graph, point M is at (0, -2). Point M is then rotated 90° clockwise about the origin to point M’. What are the coordinates of M’?

3. Given: AT is perpendicular to MH

Prove: (This proof takes more than 2 steps!)

4. Given: EB and BR trisect angle ZBS

BA bisects angle RBS

Prove EB ┴ BA using a paragraph proof.

5. Given: <1 is complementary to <3

and BC bisects <DBE

Prove: <ABC is a right angle.

6. Given: <1 = 35° 26’ 10’’

<2 = 54° 33’ 50’’

Prove: CD ┴ DE

7. Two times the supplement of an angle is equal to 15 more than five times the complement of the angle. Find the measure of the angle, its complement, and its supplement.

8. Given: <1 ≅ <3

Conclusion:______

9. Given: <1 = (x2 + 5x - 30)°

<3 = (45-5x)°

Find: m<1

10. Given: AB ┴ BC

DE ┴ EF

<DEB <EBC

Prove: <FEB <ABE

11. Given:

<NAP <SPA

Conclusion:______

12. Given:

Conclusion:

13. Given:

RO = 3cm

CK = 3cm

Prove: RC is congruent to OK

True or False:

___T__ 14. The supplement of an acute angle is obtuse.

____T_ 15. The x-axis is perpendicular to the y-axis.

__T___ 16. If two angles are supplementary to congruent angles, then they are congruent.

__F___ 17. If two angles are congruent to vertical angles, then they are complementary.

___T__ 18. Point M(1,2) and D(5,4) are the same distance from Point I(3,3).

19. Find the reflection of Point X over the y-axis.

20. Given: <1 is complementary to <3

<2 is complementary to <4

Conclusion:______

21. Given: GR is congruent to EY

Diagram as shown.

Conclusion: ______

22. <1 = 36° and <5 is complementary to <1. Find the missing angles.