Question

Corresponding Angles Diagram

The image shows 2 parallel lines cut by a transversal.Horizontal lines f and g are shown with a transversal line z that goes from the upper left to the lower right. Arrows on the lines f and g indicate that they are parallel. The intersection of lines f and z creates 4 angles. Angle 1 is in the upper left, angle 2 is in the upper right, angle 3 is in the lower left, and angle 4 is in the lower right. The intersection of lines g and z creates 4 angles. Angle 5 is in the upper left, angle 6 is in the upper right, angle 7 is in the lower left, and angle 8 is in the lower right.
Question
Multiple Choice

Use the Corresponding Angles diagram to answer the question.
Which can be used to directly prove that angle 1 congruent to angle 8?
(1 point)
Responses

Alternate Interior Angles Theorem
Alternate Interior Angles Theorem

Corresponding Angles Postulate
Corresponding Angles Postulate

Same-Side Interior Angles Theorem
Same-Side Interior Angles Theorem

Alternate Exterior Angles Theorem

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is Corresponding Angles Postulate.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct answer is "Corresponding Angles Postulate". The Corresponding Angles Postulate states that when two parallel lines are cut by a transversal, the corresponding angles formed are congruent. In this case, angle 1 and angle 8 are corresponding angles because they are on the same side of the transversal and in the same relative position to the parallel lines. Therefore, by the Corresponding Angles Postulate, angle 1 is congruent to angle 8.