Question

Use the figure to answer the question.

An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

vertical angles

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct relationship that can be established between angle 5 and angle 1 is alternate exterior angles.

Answer 2

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

The relationship that can be established between angle 5 and angle 1 is that they are corresponding angles.

Answer 3

[AI-generated answer — Explain Bot]

In order to determine the relationship between angle 5 and angle 1, we can use the facts about angles formed when parallel lines are cut by a transversal. Specifically, we can use the fact that corresponding angles are congruent.

Looking at the figure, we can see that angle 5 and angle 1 are both formed when the transversal intersects with lines M and N. They are also on the same side of the transversal and lie on different parallel lines. Therefore, these angles are considered corresponding angles.

According to the property of corresponding angles, when two parallel lines are cut by a transversal, corresponding angles are congruent. This means that angle 5 and angle 1 are congruent to each other.

Therefore, the relationship that can be established between angle 5 and angle 1 is that they are corresponding angles, and as a result, they are congruent.