<PRE><B>Question 1155147</B>

*[illustration Circle.png].
In triangle QOM QO = OM ( radii of the circle) Isosceles triangle

1=2

MQ || RM OQ is the transversal

therefore 2=3 (alternate angles)

So 1=3

MQ || RM OQ is the transversal

1=4  (corresponding angles)

Therefore 3=4

The central angles QOR and ROP are congruent.

Therefore measure of arc QR = measure arc PR

Hence R is the midpoint of minor arc PQ.

 













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