Q4. What is a quadrilateral? Mention 6 types of quadrilaterals?
Answers
- QUESTION:-
What is a quadrilateral? Mention 6 types of quadrilaterals?
- ANSWER:-
- What is a quadrilateral?
In Euclidean plane geometry, a quadrilateral is a polygon with four edges and four vertices. Other names for quadrilateral include quadrangle, tetragon, and 4-gon. A quadrilateral with vertices, and is sometimes denoted as.
- Area: ½ x diagonal x (sum of perpendicular heights)
- Perimeter: sum of sides of the quadrilateral
- Number of vertices: 4
- Number of edges: 4
- Internal angle: 90° (for square and rectangle)
- Sum of interior angles: 360°
- Types of quadrilateral:-
- Trapezium
It is a quadrilateral with one pair of opposite parallel sides. In the trapezium, ABCD, side AB is parallel to side CD.
- Parallelogram
It is a quadrilateral with two pairs of parallel sides. The opposite sides are parallel and equal in length. The opposite angles are equal in measure. In the parallelogram, ABCD, side AB is parallel to side CD and side AD is parallel to side BC.
Also, the two diagonals formed to intersect each other at the midpoints. As in the figure given below, E is the point where both the diagonals meet. So
Length AE = EC, & Length BE = ED
- Rectangle
It is a quadrilateral with all the 4 angles of equal measure, that is, each of them is 90°. Both the pairs of opposite sides are parallel and equal in length.
- Rhombus
It is a quadrilateral with all the four sides having equal lengths. The Opposite sides of a rhombus are parallel and opposite angles are equal.
- Square
It is a quadrilateral in which all the sides and angles are equal. Every angle is a right angle (i.e. 90° each). The pairs of opposite sides are parallel to each other.
- Kite
It is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
- Some points about quadrilaterals to be kept in mind are:
- Square, rectangle, and rhombus are types of parallelograms.
- A square is a rectangle as well as a rhombus.
- Rectangle and rhombus are not a square.
- A parallelogram is a trapezium.
- A trapezium is not a parallelogram.
- Kite is not a parallelogram.
Answer:
Answer is given in above pic
