Question

Drag and drop a statement or reason to each box to complete the proof.

Given: PQ¯¯¯¯¯≅PR¯¯¯¯¯

Prove: ∠Q≅∠R

Answer 1

The data observed from the triangle are given below.

Statement Reason

`\overline{P Q} \cong \overline{P R}` Given

Draw
`\overline{P M}` so that M is the midpoint of QR. Two points determine a line

`\overline{Q M} \cong \overline{R M}` Definition of midpoint

`\overline{P M} \cong \overline{P M}` Reflexive property of congruence

`\triangle P Q M \cong \Delta P R M` SSS congruence postulate

`\angle \mathrm{Q} \cong \angle \mathrm{R}` CPCTC

SSS means side-side-side

CPCTC means corresponding parts of the congruence triangle are congruent.

Hence the given triangle is SSS congruence postulate