Question

right triangle congruence sample response: since these are right triangles, the unmarked sides can be determined to be congruent because of the pythagorean theorem. once the third set of congruent sides is determined, the sss or sas theorem can be used to prove triangle congruency. what did you include in your response? check all that apply. the pythagorean theorem says that the third sides are congruent. the pythagorean theorem and sss prove that the triangles are congruent. the pythagorean theorem and sas prove that the triangles are congruent.

Explanation:

The sample response first uses the Pythagorean theorem to find the congruence of the third - side of right - triangles. Then it mentions using either SSS (Side - Side - Side) or SAS (Side - Angle - Side) to prove triangle congruency. So all three statements are in line with the reasoning in the sample response.

Answer:

The Pythagorean theorem says that the third sides are congruent.
The Pythagorean theorem and SSS prove that the triangles are congruent.
The Pythagorean theorem and SAS prove that the triangles are congruent.