witch one is right

Question

Use the image to answer the question.

An illustration shows a triangle with vertices labeled clockwise as upper A, upper B, and upper C, starting at the lower left vertex. A line with arrows at both ends is drawn above the triangle. Angles are marked with arcs.

What could be proved using the diagram?

(1 point)
Responses

Two lines are parallel if they have the same slope.
Two lines are parallel if they have the same slope.

Alternate interior angles are congruent.
Alternate interior angles are congruent.

the Pythagorean Theorem
the Pythagorean Theorem

the Triangle Angle Sum Theorem

Answer 1

Based on the details you provided about the illustration, it seems like the key features include a triangle and a line above it, which often suggests the presence of angles that might have a relationship with parallel lines. Given this context, the most appropriate statement that could be proved using the diagram is:

Alternate interior angles are congruent.

This is typically proved using the concept of parallel lines cut by a transversal, which seems to align with the setup you've described.

The other options, while they may have validity in other contexts, do not directly relate to the features you've mentioned (the triangle and the line above it).