Question

if a point q lies between two points p and r such that pq=qr then prose that pq=1/2pr explain by drawing figures​

Answer 1

Step-by-step explanation:

$given \: the \: point \: q \: is \: the \: mid \: point \: of \: p \: and \: r \: \\ so$

$pq = qr$

$so$

$pq + qr = pr$

$pq + pq = pr$

$2pq = pr$

$pq = \frac{1}{2} pr$

$hence \: proved$

Answer 2

{ 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 = PR, dividing both sides by 2

This proves the problem.