Name Class Date
3.1 / 3.2 /3.3 3-1 Review
Use the diagram to name each of the following.
1. a pair of parallel planes
2. all lines that are parallel to
3. a line that is skew to
4. all lines that are parallel to plane QUVR
5. all lines that are perpendicular to plane QUWS
6. You are driving over a bridge that runs east to west. Below the bridge, a highway runs north to south. Are the bridge and the highway parallel, skew, or neither? Explain
Identify all pairs of each type of angle in the diagram below right.
7. corresponding angles
8. same-side interior angles
9. alternate interior angles
10. alternate exterior angles
Decide whether the angles are alternate interior angles, same-side interior angles, corresponding angles, or alternate exterior angles.
11. 2 and 7 14. 5 and 4
12. 8 and 3 15. 6 and 4
13. 1 and 5
16. The map at the right shows the intersection of Maple Street and Oak Street by Main Street. Name the angle pairs represented by the locations listed below.
a. town hall and gas station b. school and library c. library and post office d. school and gas station
Algebra Find the value of x and y. Then find the measure of each labeled angle.
17. 18.
19.
Algebra Determine the value of x for which r ║ s.
20. 21. 22. 23.
Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate.
24. m 11 + m 10=180 25. 6 9
26. 2 13 27. 13 15
28. If GH = 7y + 3, HI = 3y − 5, and GI = 9y + 7. Find the value of y.
29. JKL and MNP are complementary; mJKL = 2x 3 and mMNP = 5x + 2. What are mJKL and mMNP?