Question

Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

Answer 1

Considering the two triangles PQR and XYZ

In ∆ PQR and XYZ

PQ = XZ = 7 cms

PR = YZ = 6 cms

RQ = XY = 5 cms

∠PRQ = ∠XYZ

∠PQR = ∠XZY

In the above 2 triangles 5 pairs of congruents present. Still they are not congruent.