Parallel And Perpendicular Lines Study Guide Page 7

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Chapter 3 Review Solutions
Part I:
Part VII:
1) Never
1) 25
2) Never
2) 52
3) Sometimes
3) 25
4) Sometimes
4) 25
5) Congruent
5) 65
6) Supplementary
6) 65
7) Congruent
Part VIII:
Part II:
1) Not enough information
1) Perpendicular
2) Not enough information
2) Parallel
3) Yes, both lines perpendicular to
3) Skew
m
4) Perpendicular
5) Parallel
Part IX:
1) x = 18
Part III:
2) x = 12
1) Corresponding angles
3) x = 15
2) Alternate exterior angles
3) None
4) Alternate interior angles
5) Vertical angles
6) Consecutive interior angles (same side interior)
7) Alternate exterior angles
8) None
9) Alternate interior angles
10) None
11) Linear Pairs
12) Consecutive Interior
Part IV:
1) x = 21, y = 25
2) x = 11, y = 25 (system of equations)
3) x = 37, y = 111
4) x = 9, y = 6 (system of equations)
5) x = 84, y = 90, z = 31
Part V:
1) No, the sum of the angles is not 180 degrees
2) No, Corr. Angles are not congruent (one way to show)
3) Yes, alternate exterior angles converse (angles are congruent)
Part VI:
1) m n Alt. Int. Converse
5) p q Alt. Int. Converse
2) Neither-No transversal
6) m ll n Consec. Int. Converse
3) Neither- Need to be sup.
7) none- No Transversal
4) p ll q Consec. Int. Converse

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