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

Given: PQ¯¯¯¯¯≅PR¯¯¯¯¯

Prove: ∠Q≅∠R


Statement Reason
PQ¯¯¯¯¯≅PR¯¯¯¯¯ Given
Draw median PM¯¯¯¯¯¯ . Two points determine a line.
Point M is the midpoint of QR¯¯¯¯¯ .
Definition of midpoint
Reflexive Property of Congruence
△PQM≅△PRM
∠Q≅∠R

Respuesta :

Answer:

Given below is completed proof

Step-by-step explanation:

Given PQ=PR

Statement                                   Reason

PQ≅PR                                           Given

Point M is the midpoint of QR¯¯¯¯

Draw median PM¯¯¯¯¯¯ . Two points determine a line.

PM=PM                             Reflexive Property of Congruence

QM=RM                             Definition of midpoint  

△PQM≅△PRM             SSS axiom(side, side, side)

∠Q≅∠R                              Congruence property for triangles

Hence proved

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