Question

If P,Q and R are three points on a line and Q lies between P and R then show that PQ + QR = PR.(by using euclid's axioms)

Answer 1

Bcz given that Q is lies bwt p and R it mean QIS SAME DISTANCE from p as Q so PR-PQ=QR

Answer 2

Answer:

The proof is explained step-wise below :

Step-by-step explanation:

Given that : P,Q and R are three points on a line and Q lies between P and R

To Prove : PQ + QR = PR

Proof : Consider a point Q which lies between the points P and R of the line segment PR. Then it implies that PQ + QR will coincide with the line segment PR.

Now, By using the Euclid's fourth axiom which states that things which coincide with each other are equal to each other.

So, By using Euclid's fourth axiom, We get

PQ + QR = PR

Hence Proved