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Name:
Geometry
Introduction to Proofs Quiz Review
Date:
Classify the angle pair as corresponding, alternate interior, alternate exterior, or
consecutive interior angles.
1. l and 5
4. 11 and 16
2. 4 and 6
5. 12 and 14
3. 16 and 10
6. 7 and 1
Think of each segment in the diagram as part of a line. Complete the statement with
parallel, skew, or perpendicular. (Assume that what look like right angles are right angles.)
7. WZ and XY are ___________________________.
8. WZ and YZ are ____________________________.
9. RS and TZ are ____________________________.
10. Plane WQR and plane SYT are __________________________.
11. Plane RQW and plane TQW are __________________________.
Name the property illustrated by the statement.
12. Ifl  2 and 2  4, then l  4.
13. XY @ XY
14. If CDE  RST, then RST  CDE.
15. If a = x and a + b = c, then x + b = c.
Name:
Geometry
Solve the equation. Write a reason for each step.
16. 3x + 8 = 14
18. 7x – 77 = 12x – 122
17. –12x = 28 – 16x
19. 12x + 24 = 20x
20. GIVEN: 1 and  2 are a linear pair.
PROVE: m1 = 180° – m2
Statements
Reasons
1. ___________________________
1. Given
2. ___________________________
2. Linear Pair Postulate.
3. m1+ m2 = 180°
3. ________________________
4. ___________________________
4. Subtraction Property of Equality
21. GIVEN: AO and OC are perpendicular
PROVE: 1 and 2 are complementary.
Statement
1.
Reason
1. Given
2.
2. Definition of perpendicular
3. mAOC = 90º
3.
4.
4. Angle Addition Postulate
5. m1 + m2 = 90º
5.
6. 1 and 2 are complementary.
6.
Date:
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