Question

2. On a line AB, take four points P, Q, R and S in order such that PQ = RS.
State whether PR = QS. Give reasons in support of your answer.​

Answer 1

Answer:

Given:a line segment PS.It has 4 points on it,P,Q,R,S.

PQ=RS

To Prove:PR=QS

Step-by-step explanation:

SOLUTION :On line PQRS

PQ=RS (GIVEN)

ADD BOTH SIDES QR

PQ+QR=RS+QR

PR=QS

(WHEN EQUALS ARE ADDED WHOLE ARE EQUAL)

HENCE PROVED.

Answer 2

$\longrightarrow \sf Required \ answer:$

Given that PQ = RS.

Add QR on both sides.

PQ + QR = RS + QR.

We know that PQ + QR = PR and RS + QR = QS. Therefore, we can write the above equation as:

PR = QS.

Hence proved.

Look at the figure for more clarification.