Question

In the adjoining figure, examine whether the triangles are congruent or not. If the

triangles are congruent, then write by which rule they are congruent. Also write the

result in symbolic form.​

Answer 1

Answer:

Yes, the given two Triangles are congruent by SAS ( Side-Angle-Side) Congruency Criterion .

Step-by-step Explanations :

Given : In ∆ PQR, ∠PQR = 45° , PQ = 3.5 cm , QR = 5 cm

In ∆ XYZ, ∠XZY = 45° , XZ = 3.5 cm , ZY = 5cm

To find : Wheather the Triangles are congruent or not = ?

In ∆ PQR and ∆ XYZ , we have,

PQ = XZ -----------( Each = 3.5 cm )

∠PQR = ∠XZY --------- ( Each = 45° )

QR = ZY --------------- (Each = 5cm )

Hence ∆ PQR ≈ ∆ XZY , By SAS Congruency Criterion.