Question

PO=OR and SO=OQ angle PSR=angle QRS=90 name the congruent triangle.

Answer 1

PO=OR and SO=OQ angle PSR=angle QRS=90 the congruent triangles are

Δ PSR ≅ Δ QRS

Given,

PO = OR

SO = OQ

angle PSR = angle QRS = 90  

From given data, we can construct a diagram and is attached below.

While going through the following steps, consider the attached figure.

PO = OR and SO = OQ

Therefore, PR = QS

and ∠ PSR = ∠ QRS = 90°  

Since the diagonals are same and the interior angles are right angles, the polygon is a square.

∴ PS = QR   (sides of a square)

SR = PQ      (sides of a square)

∠ PSR = ∠ QRS = 90°   (equal angles of equal sides)

∴ Δ PSR ≅ Δ QRS