Question

3. On a line AB, take four points P, R, Q and S in order such that PR = QS . With the help of this figure State whether PQ=RS. Give reasons in support of your answer.

Answer 1

step1:- given:- $PR=QS.$

to proof:- $PQ=RS$

step 2:- We are given

$PR=QS$

We observe that $QR$ is the common segment.

So by the axiom "When equals are added to equals the sums are equal"

$$\begin{gathered} PR+QR=QS+QR \\ PQ=RS \end{gathered}$$

Hence, proof.