Question

Name the quadrilaterals in which
Diagonals bisere each others
Diagonals are equal
Dingenas, era berpendicular Leisetas
All sides equal
Opposite sides equal​

Answer 1

Answer:

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.

solution

Answer 2

Diagonals bisect each others.

$\large\tt\green{Rhombus, \:sqaure\:and\:parallelogram.}$

Diagonals are equal.

$\large\tt\orange{Square}$

Diagonals are perpendicular to each other.

$\large\tt\purple{square}$

All sides are equal.

$\large\tt\blue{Sqaure}$

Opposite sides are equal.

$\large\tt\pink{Sqaure,\:rectangle \:,\,\:and\:parallelogram.}$