Question

use the given information to prove that ∠qpr ≅ ∠spr. given: (overline{qr} cong overline{sr}), (overline{pq} cong overline{ps}) prove: ( angle qpr cong angle spr ) group: statements 1 (overline{qr} cong overline{sr}) 2 (overline{pq} cong overline{ps}) 3 ( angle qpr cong angle spr ) reasons 1 given 2 given 3 given (drag to proof) (drag to proof) (drag to proof) validate save for later submit

Explanation:

Step1: State first given side

$\overline{QR} \cong \overline{SR}$

Step2: State second given side

$\overline{PQ} \cong \overline{PS}$

Step3: Identify common side

$\overline{PR} \cong \overline{PR}$ (Reflexive)

Step4: Prove triangle congruence

$\triangle QPR \cong \triangle SPR$ (SSS)

Step5: Conclude angle congruence

$\angle QPR \cong \angle SPR$ (CPCTC)

Answer:

Step 1: $\overline{QR} \cong \overline{SR}$ (Given)
Step 2: $\overline{PQ} \cong \overline{PS}$ (Given)
Step 3: $\overline{PR} \cong \overline{PR}$ (Reflexive Property)
Step 4: $\triangle QPR \cong \triangle SPR$ (SSS Congruence)
Step 5: $\angle QPR \cong \angle SPR$ (CPCTC)