Question

Pqrs is a square.arc ab is drawn with center p and any radius less than pr, cutting s at a and rq at


b. prove that as=bq

Answer 1

To prove :- AS=BQ
Proof:-
PQRS is a square
PQ=QR=RS=PS
Since SR=RQ
1/2SR=1/2RQ
AS =BQ (proved)

Answer 2

Answer:

It is required to prove that AS=BQ

Proof-

In the triangles ASP and BQP- line PS = line PQ(as it is a square).

Angle S = Q = 90 degree.(As it is a square)

line AP = line BP(radii are always same for a circle)

So,

Triangle ASP = BQP(According RHS)

So,

AS = BQ(Proved)

This was a question of my present class maths text book of class 7.