Q. 1493.5( 8 Votes )

State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

A. ∆PQR : PQ = 3.5 cm, QR = 4.0 cm, Q = 60°

∆STU : ST = 3.5 cm, TU = 4 cm, T = 60°

B. ∆ABC : AB = 4.8 cm, A = 90°, AC = 6.8 cm

∆XYZ : YZ = 6.8 cm, X = 90°, ZX = 4.8 cm

Answer :

PQ = ST


QR = TU


Q = T


Hence; both triangles are congruent by SAS criterion


Δ PQR Δ STU


(b) AB = XZ


A = X


YZ≠BC (Hypotenuse )


AC≠XY


Hence; both triangles are not congruent neither by RHS nor by


SAS congruence criterion


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