Question

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.

Answer 1

1) $\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR$ (given)

2) $\overline{RS} \cong \overline{RS}$ (reflexive property)

3) $\angle RST$ and $\angle RSQ$ are right angles (perpendicular lines form right angles)

4) $\triangle RST \cong \triangle RSQ$ (AAS)