Prove that is a right triangle. Select the correct answer from each drop-down menu.

is congruent to because segment was constructed so that . is congruent to because segment was constructed so that . Since is a right triangle, by the
. We are given that . Since and , by the
. Also, by the
. Taking the square root of both sides of the equation gives . So, is congruent to by the definition of congruence. Applying the
, . By CPCTC, . Therefore is a right angle and is a right triangle.