AnswersLJISD-TX-Geometry-1st 6WKSLines Cut by a Transversal

Lines Cut by a Transversal Answers

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Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

Answer:

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

3

33 ✔ 77 103

A
33
B
✔ 77
C
103
4

What did you include in your response? Check all that apply.

A
vertical angles theorem
B
corresponding angles theorem
C
transitive property
D
supplementary angles
E
linear pairs
5

°

Answer:

65

6

What is m∠2? °

Question illustration
Answers:
m:75
m:105
7

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Answers:
Angles 3 and 5 are .:same side interior angles
The equation can be used to solve for x.:(3x + 4) + (2x + 11) = 180
m∠5 = °:77
8

✔ (3x + 4) + (2x + 11) = 180(3x + 4) = (2x + 11)X (3x + 4) – (2x + 11) = 180

A
✔ (3x + 4) + (2x + 11) = 180
B
(3x + 4) = (2x + 11)
C
X (3x + 4) – (2x + 11) = 180
9

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Answers:
Angles 3 and 5 are .:same side interior angles
The equation can be used to solve for x.:(3x + 4) + (2x + 11) = 180
m∠5 = °:77
10

Complete the two-column proof.

Answers:
A:vertical angles
B:corresponding angles theorem
C:transitive property
11

alternate exterior angles theorem ✔ corresponding angles theorem vertical angles

A
alternate exterior angles theorem
B
✔ corresponding angles theorem
C
vertical angles
12

symmetric property ✔ transitive property definition of supplementary angles

A
symmetric property
B
✔ transitive property
C
definition of supplementary angles

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