Maths-

General

Easy

Question

Prove that: PR = PQ + QR

Give a two-column proof

Hint:

### Use Euclid’s Axiom

## The correct answer is:

### SOL – In the figure, we can see that PR coincides with

PQ + QR.

Acc. to Euclid’s Axiom, things which coincide with one another are equal to one another.

Hence Proved

NOTE – Alternative method

We can also prove using Segment addition postulate which states that if a line segment has two endpoints, A and C, a third point B lies on the line segment AC if and only if this equation AB + BC = AC

Since in figure given above, Q lies on the line segment PR Þ PR = PQ + QR.

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