Mathematics

Mathematics

Problem

Triangles PQRPQR and XYZXYZ have sides PQ=7 cm, QR=9 cm, PR=11 cmPQ = 7\ \text{cm},\ QR = 9\ \text{cm},\ PR = 11\ \text{cm} and XY=11 cm, YZ=7 cm, ZX=9 cmXY = 11\ \text{cm},\ YZ = 7\ \text{cm},\ ZX = 9\ \text{cm} respectively. Under which correspondence of vertices are the two triangles similar by the SSS criterion? a) The triangles are not similar under any correspondence b) PQ↔YZ, QR↔ZX, PR↔XYPQ \leftrightarrow YZ,\ QR \leftrightarrow ZX,\ PR \leftrightarrow XY c) PQ↔XY, QR↔YZ, PR↔ZXPQ \leftrightarrow XY,\ QR \leftrightarrow YZ,\ PR \leftrightarrow ZX d) PQ↔YZ, QR↔XY, PR↔ZXPQ \leftrightarrow YZ,\ QR \leftrightarrow XY,\ PR \leftrightarrow ZX

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