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Diagonals of a Square Bisect Each-Other at Right Angles and Are Equal

The segments ...

Question

The segments XZ and YW are diagonals of the square XYZW. M is their point of intersection. Find m∠XMY.

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Solution

We know that the diagonals of a square bisect each other at right angles.
So, all the angles subtended at the point M by XZ and WY will be equal in measure and will be equal to 90°.

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Diagonals of a Square Bisect Each-Other at Right Angles and Are Equal

Standard VIII Mathematics

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