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3 years ago

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

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

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

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