Question

In the fig po=or and so=oq anglepsr =angle qrs=90degree. name the congruent triangles

Answer 1

In triangle POS and triangle QOR :----

1). PO= OR

2). SO=OQ

3)angle POS= angle QOR( O is the midpoint of PR and QS.

there fore triangle POS is congruent to triangle QOR.

so PR = SQ.

According to the sum,

1) angle PSR = angle QRS = 90°

2)PR = QS ( proved).

3)SR is the common base.

so we can say that,

Triangle PSR is congruent to Triangle QRS.

Answer 2

GIVEN :

In fig, po=or and so=oq

Anglepsr =Angle qrs =90°

TO FIND:

Congruent triangles.

SOLUTION :

◆Refer to the attachment given below,

◆Steps to be followed in drawing the figure ,

PO = OR , SO = OQ

◆Two line segments PO ,OQ which are equal , SO and OQ which are equal .

◆<PSR =<QRS=90degree.

◆Connect PR through S with angle 90° , and so is QR with S .

◆Now , we get a square or rectangle.

◆Since angles ( PSO = QRO ) ; (POS = QOR )

Lines , PO = OR , QO = SO

◆Congruent triangles here are,

∆POS = ∆QOR ; ∆ POQ = ∆ SOR

ANSWER :

Congruent triangles ,

∆POS = ∆QOR ; ∆ POQ = ∆ SOR