Maths-
General
Easy

Question


Prove that: PR = PQ + QR
Give a two-column proof

hintHint:

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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