define quiderilateral from different types of quiderilateral using straws and match etc . and write properties of each type of quiderilateral
Answers
Answer:
define quiderilateral from different types of quiderilateral using straws and match etc . and write properties of each type of quiderilateral
Explanation:
What is a Quadrilateral?
A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.
If we join the opposite vertices of the quadrilateral, we get the diagonals. In the below figure AC and BD are the diagonals of quadrilateral ABCD.
Quadrilateral
Quadrilaterals will typically be of standard shapes with four sides like rectangle, square, trapezoid, and kite or irregular and uncharacterized as shown below:
Concave Quadrilateral
Let’s have a look at the table below to understand what quadrilateral is.
Quadrilateral Two-dimensional plane figure enclosed by 4 line segments
Or
A polygon with 4 edges and 4 vertices
Number of sides 4
Number of vertices 4
Number of diagonals 2
Sum of all interior angles 360 degrees
Sum of all exterior angles 360 degrees
Types of Quadrilaterals
The types of quadrilaterals are defined based on the measure of the angles and lengths of their sides. As the word ‘Quad’ means four, all these types of a quadrilateral have four sides, and the sum of angles of these shapes is 360 degrees. The list of types of quadrilaterals are:
Trapezium
Parallelogram
Squares
Rectangle
Rhombus
Kite
Types Of Quadrilaterals
Convex, Concave and Intersecting Quadrilaterals
Another way to classify the types of quadrilaterals are:
Convex Quadrilaterals: Both the diagonals of a quadrilateral are completely contained within a figure.
Concave Quadrilaterals: At least one of the diagonals lies partly or entirely outside of the figure.
Intersecting Quadrilaterals: Intersecting quadrilaterals are not simple quadrilaterals in which the pair of non-adjacent sides intersect. These kinds of quadrilaterals are known as self-intersecting or crossed quadrilaterals
Below are the examples of convex, concave and intersecting quadrilaterals.
Kinds of quadrilateral
Properties of Quadrilaterals
Let us understand in a better way with the help of an example:
Properties of quadrilateral
It has four sides: AB, BC, CD, and DA
It has four vertices: Points A, B, C, and D
It has 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 Properties
All 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
To learn more about square, click here.
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 90 degrees.
The diagonals of a rectangle bisect each other.
To understand more about rectangle, visit here.
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 measure
The sum of any two adjacent angles of a rhombus is equal to 180 degrees
The diagonals perpendicularly bisect each other
Learn in detail about rhombus here.
Parallelogram Properties
The opposite side of the parallelogram are of the same length
The opposite sides are parallel to each other
The diagonals of a parallelogram bisect each other
The opposite angles are of equal measure
The sum of two adjacent angles of a parallelogram is equal to 180 degrees
Also, check: Parallelogram
Properties of Trapezium
Only one pair of the opposite side of a trapezium is parallel to each other
The two adjacent sides of a trapezium are supplementary (180 degrees)
The diagonals of a trapezium bisect each other in the same ratio
Click here to learn the definition and formulas related to trapezium.
Properties of Kite
The pair of adjacent sides of a kite are of the same length
The largest diagonal of a kite bisect the smallest diagonal
Only one pair of opposite angles are of the same measure.