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Things which are double of the same thing are equal to one another. If $2 x = 2 y$ , then $x$ is:

Class 9Euclid's AxiomsGeometry — Foundations

Aequal to $y$
Bdouble of $y$
Chalf of $y$
Dgreater than $y$

Step-by-Step Solution

By the axiom, doubles of equals are equal, and equivalently halves of equals are equal:

2 x = 2 y

gives

x = y

.

Answer: A) equal to

y

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