Question

Given a quadrilateral ABCD, and diagonals AC and BD bisect each other at P such that AP=CP and BP=DP.Also ∠APD=90⁰, then quadrilateral is a​

Answer 1

The quadrilateral is a rhombus.

Explanation :

• A rhombus is a quadrilateral with all sides equal and opposite sides parallel to each other.
• As per the given data, the figure is shown below.
• The main properties of the diagonals of a rhombus are as follows:  

• The two diagonals of a rhombus are perpendicular to each other, that is,  the rhombus is an orthodiagonal quadrilateral.
• ∵ ∠APD = 90° (given), ∠APB = 90°, ∠CPD = 90° , ∠BPC = 90° (Opposite angles are equal.
• The two diagonals of a rhombus bisect each other, that is, AP=CP and BP=DP
• The diagonals bisect the angles.

Answer 2

Answer:

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