AnswersAZ-Common Core Geometry AIntroduction to Transformations

Proving Lines Parallel Answers

20 verified answers4 views
4

Two parallel lines are crossed by a transversal.

Question illustration
A
x = 21
B
x = 28
C
x = 35
D
x = 37 ✓ Correct
6

Given: m || n and p is a transversalProve: m2 = m7

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
transitive property
D
subtraction property
8

Given: x ∥ y and w is a transversalProve: ∠3 ≅ ∠6

Question illustration
A
transitive property
B
symmetric property
C
vertical angles are congruent
D
definition of supplementary angles
9

Lines b and c are parallel.

Question illustration
m
m6 = 45°
Option m
m
m6 = 54°
Option m
m
m6 = 117°
Option m
m
m6 = 126°
Option m
10

Lines b and c are parallel.

Question illustration
A
m2 = 31°
Option A
B
m2 = 50°
Option B
C
m2 = 120°
Option C
D
m2 = 130°
Option D
13

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

Question illustration
A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
15

Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.

Question illustration
A
Lines a and b are parallel because their corresponding angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are congruent.
C
Lines e and f are parallel because their corresponding angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are supplementary.
16

Given: and Prove:

Question illustration
A
m∠1 = m∠4
B
m∠2 = m∠3
C
m∠1 + m∠4 = 180°
D
m∠2 + m∠3 = 180°
19

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

Question illustration
A
Lines a and b are parallel because their alternate exterior angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are supplementary.
C
Lines e and f are parallel because their alternate exterior angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are congruent.

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