Show that if the diagonals of quadrilateral are equal and bisect each other at right angles,then it is a square.

Question

Show that if the diagonals of quadrilateral are equal and bisect each other at right angles,then it is a square.
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Solution 1

Sure, here is the step-by-step proof:

  1. Let's consider a quadrilateral ABCD with diagonals AC and BD that are equal in length and bisect each other at right angles at point O.

  2. According to the given condition, AO = OC and BO = OD. Also, ∠AOB = ∠COD = 90°.

  3. Now, consider triangles AOB and CO Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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