Question

Let's recall types of quadrilateral s and their properties
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Answer 1

Answer:

Types of Quadrilaterals

Parallelogram: A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. ...

Rectangle: A rectangle is a parallelogram in which all the angles are right angles. ...

Square: A square is a rectangle in which all sides are equal. ...

Rhombus: ...

Trapezium:

Answer 2

Answer:

1. Parallelogram:

A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. Its opposite angles are equal.

Here LMNO is a parallelogram.

(i) LM is parallel to ON.

LO is parallel to MN.

(ii) LO = MN

LM = ON

(iii) ∠L = ∠N

∠M = ∠O

2. Rectangle:

A rectangle is a parallelogram in which all the angles are right angles.

Here ABCD is a rectangle.

(i) So, AB is parallel to DC.

AD is parallel to BC.

(ii) AD = BC

AB = DC

(iii) ∠A = ∠B = ∠C = ∠D = 90°

3. Square:

A square is a rectangle in which all sides are equal.

Here ABCD is a square.

(i) AB is parallel to DC.

BC is parallel to AD.

(ii) AB = BC = CD = DA.

(iii) ∠A = ∠B = ∠C = ∠D = 90°

4. Rhombus:

A rhombus is a parallelogram whose all sides are equal, opposite sides are parallel and opposite angles are equal.

Here LMNO is a rhombus.

(i) LM = MN = NO = OL

(ii) ∠L = ∠N

∠O = ∠M

(iii) LM is parallel to ON

OL is parallel to MN

5. Trapezium:

A quadrilateral is called trapezium if a pair of its opposite sides are parallel.

Here ABCD is a trapezium.