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Given - PQ = SR and PR=SQ
To prove - a)Triangle PQR is equal to Triangle SRQ
b)Angle PQR Equals Angle SRQ
PROOF.
1)In Triangles PQR and SQR
i)PQ=SR. (Given)
ii)PR=SQ. (Given)
iii)QR=QR (common side)
2)Triangle PQR is congruent to triangle SQR (BY SSS fact)
3) Triangle PQR is equal to triangle SQR (Congruent triangles have equal areas)
4) Angle PQR equals SRQ (Congruent angles of congruent triangles)
Given - PQ = SR and PR=SQ
To prove - a)Triangle PQR is equal to Triangle SRQ
b)Angle PQR Equals Angle SRQ
PROOF.
1)In Triangles PQR and SQR
i)PQ=SR. (Given)
ii)PR=SQ. (Given)
iii)QR=QR (common side)
2)Triangle PQR is congruent to triangle SQR (BY SSS fact)
3) Triangle PQR is equal to triangle SQR (Congruent triangles have equal areas)
4) Angle PQR equals SRQ (Congruent angles of congruent triangles)
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PQ=SR (GIVEN)
PR=SQ (GIVEN)
QR=QR(COMMON)
SO, PQR CONGURENT SRQ
PQR= SRQ
ANGLE PQR=ANGLE SRQ (COGURENT ANGLE OF SIMILAR TRIANGLE)
PR=SQ (GIVEN)
QR=QR(COMMON)
SO, PQR CONGURENT SRQ
PQR= SRQ
ANGLE PQR=ANGLE SRQ (COGURENT ANGLE OF SIMILAR TRIANGLE)
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