A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
Sum of interior angles of a quadrilateral is 360.
There are six types of quadrilaterals. They are
Definition of parallelogram :
A parallelogram is a quadrilateral which has opposite sides parallel.
Properties of parallelogram :
Definition of rectangle :
A rectangle is a parallelogram with four equal angles of 90 degree.
Properties of rectangle :
What is rhombus ?
A rhombus is a quadrilateral in which all sides are equal is length.
Properties :
What is square ?
A square is a rhombus with four equal angles of 90.
Properties :
What is trapezium ?
A trapezium is a quadrilateral which has a pair of parallel opposite sides.
Properties :
Definition of kite :
A kite is a quadrilateral which has two pairs of adjacent sides equal in length.
Properties :
Which of the following are true? Give reason for your answers.
Problem 1 :
A rectangle is a quadrilateral.
Solution :
True, since it has four sides, we can say rectangle is a quadrilateral.
Problem 2 :
A rectangle is a square.
Solution :
A rectangle may be a square sometimes, if all sides are equal. So, it is true.
Problem 3 :
A square is a rhombus.
Solution :
True, since all sides are equal in square and in rhombus.
Problem 4 :
A rhombus is a parallelogram.
Solution :
True, since opposite sides are parallel, we say rhombus is a parallelogram.
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