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