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Question

The dimensions of two diagonals are given, which are equal in length. However, they are not perpendicular to each other. What type of quadrilateral can be drawn with the provided information?

A
Any trapezoid
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B
Any Parallelogram
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C
Any Square
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D
Any Rectangle
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Solution

The correct option is D Any Rectangle
All trepezoid do not have equal length diagonals.

All parallelograms do not have equal length diagonals Ex. Rhombus

Diagonals of square are perpendicualr to each other.

We know that all rectangle has equal diagonals.
Also, they intersect each other at an angle other than 90o.

Hence, a rectangle can be drawn with the given information.

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