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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Explain, why
