Question

In the diagram below, if < 1 and < 5 are congruent, then lines a and b are parallel. What reason would we use to prove this?Select one:a.Alternate Interior are congruent.b.Alternate Exterior angles are congruent.c.Corresponding Angles are congruent.d.Vertical Angles are congruent.

Answer 1

Option C is correct. Corresponding Angles are congruent.

Explanations:

In the given line geometry, we have that line a and line b are parallel to each other with line "t" is transversal.

From the diagram, you can see that the angle 1 at the top right is positioned in the same location with angle 5 at the bottom.

This shows that the two angles corresponds to each other. We can therefore conclude that the reason that would we use to prove the angle 1 and angle 5 are congruent is Corresponding Angles are congruent.