Question

given the triangles below with sides and angles as marked.
select the postulate or theorem that proves these triangles are congruent.
hypotenuse leg congruence theorem
side side side congruence postulate
side angle side congruence postulate
angle angle side congruence theorem
these triangles are not congruent.
angle side angle congruence postulate

Explanation:

• The figure shows a parallelogram divided into two triangles by a diagonal.
• In a parallelogram, opposite sides are equal. So, we have two pairs of equal sides.
• The diagonal is a common side (third side) for both triangles.
• The Side - Side - Side (SSS) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Answer:

Side Side Side Congruence Postulate