Question

Question #19- Use the answer bank below to fill in missing parts of the proof.

Given: PQPR
Prove: QR
P
R

Answer 1

∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)

∠PQR ≅∠PRQ: Reason; CPCTC

Explanation:

`\overline{PQ}\cong \overline{PR}`: Reason; Given

Draw
`\overline{PM}` so that M is the midpoint of
`\overline{QR}`: Reason; Two points determine a line

`\overline{QM}\cong \overline{RM}`: Reason; Definition of midpoint

`\overline{PM}\cong \overline{PM}`: Reason; Reflexive property

ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency

∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC

∠PQR ≅∠PRQ: CPCTC