Question

Could I please get help finding proofs and solving the reasonings.

Answer 1

For the shown figure:

Given:

$\begin{gathered} PQ\cong RS \\ QR\cong SP \end{gathered}$

We will prove:

$\triangle PQR\cong\triangle RSP$

The proof will be as follows:

Statement Reason

1. PQ ≅ RS Given

2. QR ≅ SP Given

3. PR ≅ RP Reflexive property

4. ΔPQR ≅ RSP Congruent by SSS postuelate