Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
- of the ASA congruence theorem.
-of the AAS congruence theorem.
- of the third angle theorem.
-all right triangles are congruent.