Question

1. two triangles are considered congruent if they have:

a. one equal angle
b. similar shapes
c. three equal sides
d. two equal sides

Explanation:

Congruent triangles have all corresponding sides and angles equal. The SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. One equal angle (a) is not sufficient as there are many non - congruent triangles with one equal angle. Similar shapes (b) have the same shape but not necessarily the same size (so not congruent). Two equal sides (d) without information about the included angle or the third side is not enough for congruence.

Answer:

C. Three equal sides