Download Geometry Ch 3 Review solutions Corresponding Alternate interior

Geometry Ch 3 Review solutions
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Corresponding
Alternate interior
Same side interior
Alternate interior
Same side interior
Corresponding
1=80, 2=100
1=75, 2=75
X=103, angles 103 and 77
X=24, angles 12 and 168
X=30, angles 85 and 85
a. p,q
b. converse of alternate interior angles theorem
c. a, b converse of corresponding angles postulate
d. p, q converse of same side interior angles theorem
14. given
Vertical angles are congruent
Same side interior angles sum to 180
Same side interior angles sum to 180
Congruent supplements theorem
Substitution or transitive property of congruence
Vertical angles are congruent
Substitution or transitive property of congruence
15. angle 1 is exterior—given
Measure angle 1 + measure angle 4 = 180 – definition of linear pair
Measure angle 2 plus measure angle 3 plus measure angle 4 = 180 – triangle angles sum to 180
Measure angle 1 + measure angle 4 = measure angle 2 + measure angle 3 + measure angle 4—
substitution
Measure angle 1 = measure angle 2 plus measure angle 3—subtraction property of equality
16. angle C is right – given
Measure angle c = 90 – definition of right angle
Measure angle A plus measure angle B plus measure angle C = 180 – triangles sum to 180
Measure angle A plus measure angle B + 90 = 180—substitution
Measure angle A plus measure angle B = 90 – subtraction property of equalty
Angle A and angle B are complementary – definition of complementary
17. 7𝑥 + 𝑦 = 79 𝑎𝑛𝑑 17𝑥 + 3𝑦 = 209 , x =7, 7=30
18. x=78
19. x=12
20. x=25, y=60, z=35
21. x=142
22. x=24
23. 1260
24. 135
25. 36
26. 14 sides
27. 12 sides
28. 20 sides
29- see notes, textbook section 4.7
30. parallelogram
31 rectangle
32. slope = -5/6 , midpoint (-2, -1/2)