Question

If a point Q lies between two points P and R such that PQ=QR,prove that PQ=1/2PR

No spamming guys exam time no fun !

Answer 1

given that .q lies between p and r

draw a line pr

insert .q at middle

w.k.t pq+qr=line pqr

so pq is 1/2 pr

Answer 2

Proof :

{ See the attachment for the figure }

    Given that, the point Q lies between the two points P and R such that PQ = QR. This means that Q is the mid - point of the line PR.

    Then, PQ + QR = PR

==> PQ + PQ = PR, since PQ = QR

==> 2 PQ = PR

==> PQ = $\frac{1}{2}$ PR, dividing both sides by 2

This proves the problem.

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