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Geo Review 3.1-3.3

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Geometry
3.1-3.3 Review Worksheet
Name ____________
Think of each segment in the diagram as a part of a line. Complete the statement with
parallel, skew, or perpendicular.
!##"
!##"
1. WZ and XY are _________________________.
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!###"
2. WZ and QW are _________________________.
!#"
!##"
3. SY and WX are _________________________.
4. Plane WQR and plane SYT are ______________.
5. Plane RQT and plane WQR are ______________.
Think of each segment in the diagram as part of a line. Which lines(s) or plane(s) appear
to fit the description? LIST ALL SOLUTIONS!
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6 Line(s) parallel to AB .
!##"
7. Line(s) perpendicular to BF .
!##"
8. Line(s) skew to CD and containing point E.
9. Plane(s) perpendicular to plane ABE.
10. Plane(s) parallel to plane ABC.
Use the given information to find the measure of all 20 angles.
GIVEN: l ║ m, j ⊥ k, m∠1 = 42° and m∠7 = 48°
11. Which angle is vertical to !17 ?
12. Classify !8 and !14 .
13. Are !6 and !2 corresponding?
14. Are !6 and !2 congruent?
15. Classify !4 and !17 .
16. Name all angles supplementary
to !3 .
Use the markings in the diagram to answer 17-20
17. Name a pair of parallel lines.
18. Name a pair of perpendicular lines.
!#"
!##"
19. Is QS parallel to TR ?
!##" !#"
20. Is VN ! TR ?
Complete the statement with sometimes, always, or never.
21. If two lines are not parallel, then they ____________________________________ intersect.
22. If one line is skew to another, then they __________________________________ intersect.
23. If two lines are perpendicular, then they __________________________________ intersect.
24. If two lines are coplanar, then they are _________________________________ perpendicular.
Find the angle measure. Tell which postulate or theorem you used.
25. If m !1 = 50° , then m !5 = ______________
Postulate/ Theorem:
26. If, m !4 = 45° then m !6 = _____________
Postulate/ Theorem:
27. If, m !2 = 130° then m !7 = ____________
Postulate/ Theorem:
28. If m !6 = 123° , then m !3 = ____________
Postulate/ Theorem:
Find the measure of each of the following angles.
29.
Find the value of x that makes m parallel to n.
30.
31.
32.