Types of Quadrilaterals
Types of quadrilaterals are discussed here:
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.
AB is parallel to DC
If a trapezium has non parallel sides equal, it is called isosceles trapezium.
Let’s discuss about the properties of types of quadrilateral in the table below;
Comparing the sides and angles of the different quadrilateral are discussed above.
Construction of Perpendicular Lines by using a Protractor.
Sum of Angles of a Quadrilateral.
Practice Test on Quadrilaterals.
5th Grade Geometry Page
5th Grade Math Problems
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