Question

Two triangular tiles each have two sides measuring four inches. Which is a true statement?

A) Their corresponding angles are congruent.

B) The triangles are congruent.

C) The triangles may be congruent.

D) The triangles cannot be congruent.

Answer 1

C; The triangles may be congruent

Explanation:

Here, we have two sides of the each of the triangles equal already

By congruency, we might have SSS or SAS

if SSS, this mean that all the sides are equal

Since we do not know the measure of the third side, we cannot say that they are not congruent or they are congruent

Also, we do not know the measure of the angles of the triangles

If we have an angle that is equal in the two triangles, then we can have congruency through SAS

But since we do not know how these measures, we use the word ‘may’