Without drawing the triangles write all six pairs of equal measures in

1.	Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles.(a) ΔSTU ≅ ΔDE(b) ΔABC ≅ ΔLMN(c) ΔYZX ≅ APQR(d) ΔXYZ ≅ ΔMLN
Answer» 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

Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles.(a) ΔSTU ≅ ΔDE(b) ΔABC ≅ ΔLMN(c) ΔYZX ≅ APQR(d) ΔXYZ ≅ ΔMLN

Answer»

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