Question

Name two quadrilaterals in which diagonals are equal


1:Square and rectangle

2:Rectangle and parallelogram

3:Square and rhombus

4:Kite and rhombus​

Answer 1

Answer:1. SQUARE AND RECTANGLE

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides equal & parallel to each other.

Each angle is a right one.

In the figure, ABCD is a rectangle whose diagonals divide it into 4 Δs viz. ΔABC, ΔADC, ΔABD & ΔCBD  

Since all the angles are right ones, the above Δs are right Δs.  

So, AC  

2

=AB  

2

+BC  

2

 & BD  

2

=CD  

2

+BC  

2

 

But AB=CD     ...(opposite sides of a rectangle)

⟹AC  

2

=BD  

2

 

⟹AC=BD.  

So, the diagonals of a rectangle are equal.

Again a square is a special rectangle whose all sides are equal to each other.

∴ The diagonals of a square are equal.

Answer 2

Answer:

Rhombus and Square are quadrilaterals whose diagonals are equal.