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Prove that XR is equivalent to YP by using the terms in geometry, its just proofs

Prove that XR is equivalent to YP by using the terms in geometry, its just proofs-example-1

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PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)

answered
User Antonio Favata
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