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Euclid's Parallel Postulate and Playfair's Axiom

Aruna drew 3 ...

Question

Aruna drew 3 lines CD, KA, TP such that:
CD = KA
CD = TP
What is the relation between KA and TP?

A

KA > TP

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B

TP + KA = 2 CD

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C

TP = KA

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D

Data insufficient

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Solution

The correct option is C TP = KA
Euclid's axiom states that - 'Things which are equal to the same thing are equal to one another'. Hence CD = KA = TP.
Therefore,
KA + TP = CD + CD = 2 CD

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