Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles.

(a) ΔSTU  ΔDEF (b) ΔABC ΔLMN

(c) ΔYZX  ΔPQR (d) ΔXYZ  ΔMLN

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2 Answers

Correct answer is 

(a) S = D, T = E, U = F, ST = DE, TU = EF, SU = DF

(b) A = L, B = M, C = N, AB = LM, BC = MN, AC = LN

(c) Y = P, Z = Q, X = R, YZ = PQ, ZX = QR, YX = PR

(d) X = M, Y = L, Z = N, XY = ML, YZ = LN, XZ = MN

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We know that, corresponding parts of congruent triangles are equal.

(a) ΔSTU ≅ ΔDEF

∠S = ∠D, ∠T = ∠E and ∠U = ∠F ST = DE, TU = EF and SU = DF

(b) ΔABC ≅ ΔLMN

∠A = ∠L, ∠B = ∠M and ∠C = ∠N AB = LM, BC = MN and AC = LN

(c) ΔYZX ≅ APQR

∠T = ∠P, ∠Z = ∠Q and ∠X = ∠R YZ = PQ, ZX = QR and YX = PR

(d) ΔXYZ ≅ ΔMLN

∠X = ∠M, ∠Y = ∠L and ∠Z = ∠N XY = ML,YZ = LN and XZ = MN

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