Question

Which reason completes the proof?

1) given
2) through any two points, there exists exactly one line
3) reflexive property of congruence
4) corresponding parts of congruent triangles are congruent
5) alternate interior angles converse
6) a quadrilateral is a parallelogram if opposite sides are parallel

Answer 1

The reason that completes the proof is that corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

The reason that completes the proof is 4) corresponding parts of congruent triangles are congruent.

When two triangles are congruent, it means that all corresponding sides and angles are equal. This property is important in geometry, as it allows us to deduce information about other parts of the triangles.

In this case, if we have two triangles that are congruent and we know that one pair of corresponding sides are parallel, we can conclude that the other pair of corresponding sides are also parallel. This is because if the triangles are congruent, their corresponding parts must be congruent as well.