1. Chapter 3 Review 3.1: Vocabulary and Notation
3.2: Angles Formed by Parallel Lines and Transversals
3.3: Proving Lines are Parallel
3.4: Theorems about Perpendicular Lines

2. Name a pair of vertical angles.1 2 3 4 5 6 7 8
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Name a pair of vertical angles.
2 and 3
1 and 4
6 and 8
5 and 7

3. Name a pair of alternate interior angles.1 2 3 4 5 6 7 8
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Name a pair of alternate interior angles.
3 and 7
4 and 8

4. Name a pair of alternate exterior angles.1 2 3 4 5 6 7 8
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Name a pair of alternate exterior angles.
2 and 5
1 and 6

5. Name a linear pair of angles.1 2 3 4 5 6 7 8
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Name a linear pair of angles.
1 and 2
2 and 4
3 and 4
1 and 3
7 and 8
7 and 6
5 and 6
5 and 8

6. 1 2 3 4 5 6 7 8
> m n r
Name a pair of parallel lines. How do you know they are parallel? Name the transversal.
m || n
arrows r

7. Name a pair of corresponding angles.1 2 3 4 5 6 7 8
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Name a pair of corresponding angles.
2 and 7
1 and 8
3 and 5
4 and 6

8. x y
Describe the relationship between the lines using both words and math notation.
Perpendicular; x  y

9. x y
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Describe the relationship between the lines using both words and math notation.
Parallel; x || y

10. Name a pair of perpendicular segments.Q R S T U V W
Name a pair of perpendicular segments.

11. Name a pair of skew segments.Q R S T U V W
Name a pair of skew segments.
Examples:

12. Name a pair of parallel segments.Q R S T U V W
Name a pair of parallel segments.

13. Name a pair of parallel planes.Q R S T U V W
Name a pair of parallel planes.

14. Same-side interior angle theorem
Write an equation that describes the relationship between the given angles. State the theorem or postulate that justifies your equation. 1 2 3 4 5 6 7 8
> m n r
Same-side interior angle theorem

15. Corresponding Angles Postulate
Write an equation that describes the relationship between the given angles. State the theorem or postulate that justifies your equation. 1 2 3 4 5 6 7 8
> m n r
Corresponding Angles Postulate

16. Linear Pair Theorem >
Write an equation that describes the relationship between the given angles. State the theorem or postulate that justifies your equation. 1 2 3 4 5 6 7 8
> m n r
Linear Pair Theorem

17. Alternate Interior Angles Theorem
Write an equation that describes the relationship between the given angles. State the theorem or postulate that justifies your equation. 1 2 3 4 5 6 7 8
> m n r
Alternate Interior Angles Theorem

18. Alternate Exterior Angles Theorem
Write an equation that describes the relationship between the given angles. State the theorem or postulate that justifies your equation. 1 2 3 4 5 6 7 8
> m n r
Alternate Exterior Angles Theorem

19. Corresponding Angles Converse
If 4  6, why is ? 1 2 3 4 5 6 7 8 m n r
Corresponding Angles Converse

20. alternate interior angles Converse
If 3  7, why is ? 1 2 3 4 5 6 7 8 m n r
alternate interior angles Converse

21. alternate exterior angles Converse
If 2  5, why is ? 1 2 3 4 5 6 7 8 m n r
alternate exterior angles Converse

22. If 4 and 7 are supplementary, why is ?1 2 3 4 5 6 7 8 m n r
same-side interior angles Converse

23. Find the value of x that would guarantee m || n.1 2 3 4 5 6 7 8 m n r

24. Find the value of x that would guarantee m || n.1 2 3 4 5 6 7 8 m n r

25. What do you know about x? Why?10 x
What do you know about x? Why?
x>10: The shortest distance between a point not on a line and the line is the segment perpendicular to the segment.

26. What do you know about x? Why?14
What do you know about x? Why?

27. Is this a perpendicular bisector? Why or why not?
No. We don’t know that the segment has been bisected or the angles formed are right angles– no markings!

28. Is this a perpendicular bisector? Why or why not?
No. You can’t bisect a line– only a segment.

29. Is this a perpendicular bisector? Why or why not?
Yes. The SEGMENT has been cut in half and the figures intersect at 90°.

30. Vertical angles theorem
Given: h || p
Prove: 2  3
Statements
Reasons
1. h || p
1. Given 2.
2. Corresponding angles theorem
3. 1  2 3.
4. 2  3 4. 1 2 h 3 p
1  3
Vertical angles theorem
Transitive Property of 