Mathematics

Mathematics

Problem

(a) Define the term “corresponding sides” with reference to two congruent triangles. (b) In two triangles △PQR\triangle PQR and △XYZ\triangle XYZ, it is given that PQ=XYPQ = XY, QR=YZQR = YZ and RP=ZXRP = ZX. Name the three pairs of corresponding sides in an appropriate order. (c) Explain whether △PQR\triangle PQR and △XYZ\triangle XYZ are congruent on the basis of the information provided, and give one geometrical reason for your answer.

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