Question

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

Answer 1

Answer:

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

∠PQR ≅∠PRQ: Reason; CPCTC

Step-by-step 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