Question

given the parallelogram below, michael writes, \triangle abc is congruent to triangle cda.\ which of the following reasons allows him to write this statement? a. symmetric property b. corresponding parts of congruent polygons theorem c. angle addition postulate d. sss property

Explanation:

In a parallelogram \(ABCD\), \(AB = CD\), \(BC=DA\) (opposite - sides of a parallelogram are equal) and \(AC = CA\) (common side). By the SSS (Side - Side - Side) congruence property, if three sides of one triangle are equal to three sides of another triangle, the two triangles are congruent. So, \(\triangle ABC\cong\triangle CDA\) by the SSS property.

Answer:

D. SSS property