what is QUADRILATERAL
Answers
Answer:
A quadrilateral is a polygon which has four sides quadri means four and lateral means sides
Answer:
Quadrilateral Definition
A quadrilateral is a plane figure that has four sides or edges, and also have four corners or vertices. Quadrilaterals will typically be of standard shapes with four sides like rectangle, square, trapezoid, and kite or irregular and uncharacterized as shown below:
Area of the quadrilateral is the total space occupied by the figure. The area formula for the different quadrilaterals are given below:
Area of a ParallelogramBase x HeightArea of a RectangleLength x WidthArea of a SquareSide x SideArea of a Rhombus(1/2) x Diagonal 1 x Diagonal 2 Area of a Kite1/2 x Diagonal 1 x Diagonal 2
Quadrilateral Properties
Let us understand in a better way with the help of an example:
Four sides: AB, BC, CD, and DA
Four vertices: Points A, B, C, and D
Four angles: ∠ABC, ∠BCD, ∠CDA, and ∠DAB
∠A and ∠B are adjacent angles
∠A and ∠C are the opposite angles
AB and CD are the opposite sides
AB and BC are the adjacent sides
A quadrilateral is a 4-sided plane figure. Below are some important properties of quadrilaterals :
Every quadrilateral has 4 vertices, 4 angles, and 4 sides
The total of its interior angles = 360 degrees
Square PropertiesAll the sides of the square are of equal measure
The sides are parallel to each other
All the interior angles of a square are at 90 degrees (i.e., right angle)
The diagonals of a square perpendicular bisect each other
Rectangle Properties
The opposite sides of a rectangle are of equal length
The opposite sides are parallel to each other
All the interior angles of a rectangle are at 90 degrees.
The diagonals of a rectangle bisect each other.
Rhombus Properties
All the four sides of a rhombus are of the same measure. The opposite sides of the rhombus are parallel to each other. The opposite angles are of the same measureThe sum of any two adjacent angles of a rhombus is equal to 180 degreesThe diagonals perpendicularly bisect each other Parallelogram PropertiesThe opposite side of the parallelogram are of the same lengthThe opposite sides are parallel to each otherThe diagonals of a parallelogram bisect each otherThe opposite angles are of equal measureThe sum of two adjacent angles of a parallelogram is equal to 180 degreesProperties of TrapeziumOnly one pair of the opposite side of a trapezium is parallel to each other
Notes on Quadrilateral
A quadrilateral is a trapezoid or a trapezium if 2 of its sides parallel to each other.
A quadrilateral is a parallelogram if 2 pairs of sides parallel to each other.
Squares and Rectangles are special types of parallelograms. Below are some special properties.– All internal angles are of “right angle” (90 degrees).– Each figure contains 4 right angles.– Sides of a square are of the same length (all sides are congruent) – Opposite sides of a rectangle are same.– Opposite sides of a rectangle and square are parallel.
A quadrilateral is a rhombus, if
All the sides are of equal length-Specified 2 pairs of sides are parallel to each other.
A kite is a special sort of quadrilateral, in which 2 pairs of adjacent sides are equal to each other.
Quadrilaterals Examples
Example 1: What is the base of a rhombus, if its area is 40 square units and the height is 8 units?
Solution:
Given,
Area = 40 square units
Height = 8 units
Area of rhombus = Base × Height
40 = Base × 8
Base = 40/8 = 5 units
Example 2: If 15 metre and 6 metres are diagonal lengths of a kite, then what is its area?
Solution: Given, diagonal 1 = 15 metre and diagonal 2 = 6 metre. So, the area is simply calculated as, (1/2)(15×6) = 45 m2.
You can practice more examples of Quadrilateral using the quadrilateral worksheet.
To get more such Math lessons in a simple, and easy to understand way, register at BYJU’S and score well in your exams.
HOPE IT HELPS
FOLLOW MW NOW