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. Upload the entire proof below.

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ



STATEMENT REASON
1.RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR 1.
2. 2.
3. 3.
4. △RST ≅ △RSQ 4.

Answer 1

Here is a two-column proof for the given problem:

STATEMENT | REASON
--- | ---
RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | 1. Given
∠RST ≅ ∠RSQ | 2. All right angles are congruent
RS ≅ RS | 3. Reflexive Property of Congruence
△RST ≅ △RSQ | 4. Angle-Side-Angle (ASA) Postulate

Answer 2

Sorry, it seems like I cannot view any uploaded files or images. However, I can guide you through constructing the two-column proof.

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ

Statement | Reason
--- | ---
1. RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2. ∠STR and ∠SQR are right angles | Definition of perpendicular lines
3. SR is common | Common side
4. △RST ≅ △RSQ | By the hypotenuse-leg theorem of congruence, △RST is congruent to △RSQ.