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.