Lines Cut by a Transversal

Question 1

Question 1

Revolt · Accepted Answer

109950

Question 2

Which statements could complete the proof? A: B:

Revolt · Accepted Answer

Selection 1: Angle 2 is congruent to angle 3.; Selection 2: Angle 3 is congruent to angle 7.

Question 3

Question 3

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A

Question 4

In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

Revolt · Accepted Answer

A: m∠1 = 60°; B: m∠13 = 80°; D: m∠5 = 60°; F: m∠ 14 = 100°

Question 5

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.

Revolt · Accepted Answer

A: corresponding angles theorem

Question 6

Question 6

Revolt · Accepted Answer

109968

Question 7

Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the .

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Selection 1: vertical; Selection 2: corresponding; Selection 3: transitive property

Question 8

Question 8

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109972

Question 9

Question 9

Revolt · Accepted Answer

301942

Question 10

Question 10

Revolt · Accepted Answer

C: linear pair postulate

Lines Cut by a Transversal Answers

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