Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Class 8

Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Class 8

Question 1.

Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions — Class 8

(i) What is the quadrilateral that is both a kite and a parallelogram?

(ii) Can there be a quadrilateral that is both a kite and a rectangle?

(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?

Solution:

A = Quadrilaterals, B = Parallelogram, C = Rectangle, D = Rhombus.

i.e., common portion of C and D = Square, E = Kite.

i.e., common portion of kite and rhombus.

i.e., common portion of parallelogram and kite.

(i) Rhombus

(ii) No

(iii) No; every kite is not a rhombus, but every rhombus is a kite. When opposite sides of a kite are also at equal, then it becomes a rhombus.