Proving Lines Parallel — Unit test

Question 1

Given: and g is a transversalProve:

Revolt · Accepted Answer

vertical angles theorem

Question 2

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

Revolt · Accepted Answer

They are parallel because their slopes are equal.

Question 3

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Revolt · Accepted Answer

(–6, 10)

Question 4

In the diagram, DC is 10 units and BC is 6 units.

Revolt · Accepted Answer

12 units

Question 5

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

Revolt · Accepted Answer

They are not parallel because their slopes are not equal.

Question 6

Two parallel lines, e and f, are crossed by two transversals.

Revolt · Accepted Answer

m15 = 97°

Question 7

Two parallel lines are crossed by a transversal.

Revolt · Accepted Answer

g = 105

Question 8

Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1.g || h1.given2.∠1 ≅ ∠22.corresponding angles theorm3.∠2 ≅ ∠33.given4.∠1 ≅ ∠34.transitive property5.e || f5.?What is the missing reason in the proof?

Revolt · Accepted Answer

converse alternate interior angles theorem

Question 9

Which diagram shows lines that must be parallel lines cut by a transversal?

Revolt · Accepted Answer

2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

Question 10

Consider the two planes.

Revolt · Accepted Answer

line d.

Proving Lines Parallel — Unit test Answers

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