represent the various
properties of different types of Quadrilaterals along with the supporting figures.
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Step-by-step explanation:
There are six basic types of quadrilaterals. They are:
Trapezium
Parallelogram
Rectangle
Rhombus
Square
Kite
- 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.
Extra points:
- 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.
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