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Name: _______________________________ Class Period: __________ Score: ___________
Homework – Sections 1-2 to 1-6
DUE: Wednesday 8-27-14
For Numbers 1-6, Write true or false.
1. A, D, F are coplanar. _________
4.
and
are coplanar. _________
2. A, B, E are coplanar. _________
5. D, A, B, E are coplanar. _________
3. A and C are collinear. _________
6. D, E, and B are collinear _________
7. What is the intersection of plane ABC and plane DEB?
Use the figure at the right for Exercises 8-11.
8. If BC = 12 and CE = 15, then BE = .
9. mBCG = 60, mGCA =
, and mBCA =
10. If BC = 3x + 2 and CD = 5x − 10. Solve for x. x =
11. If AC = 5x − 16 and CF = 2x − 4, then AF =
.
Use the figure at the right for Exercises 12-13.
12. What is the mHKL ?
13. What is the mLKM ?
Use the figure at the right for Exercises 14-15.
14.In the figure at the right, mPQR = 4x + 47. Find mPQS.
15. Points A, B, and C are collinear with B between A and C.
AB = 4x − 1, BC = 2x + 1, and AC = 8x − 4. Find AB, BC, and AC.
Use the figure at the right for Exercises . Name the angle or angles in the diagram described
by each of the following.
16. supplementary to NQK
19. adjacent and congruent to JQM
17. vertical to PQM
20. complimentary to KQP
18. congruent to NQJ
21. XYZ and XYW are complementary angles. mXYZ = 3x + 9
and mXYW = 5x + 9. What are mXYZ and mXYW ?
22. ABC and DEF are supplementary angles. The
measure of DEF is twenty degrees less than
three times the measure of ABC. What are
mABC and mDEF?
23.
bisects RST. mQST = 2x + 18 and mRST = 6x − 2. What is mRSQ?
For Exercises 24-27, draw a diagram similar to the given one. Then do the construction. Check your work with a ruler
or a protractor.
24. Construct A so that mA = m1 + m2.
25. Construct the perpendicular bisector of AB .
26. Construct the angle bisector of 1.
27. Construct FG so that FG = AB + CD.