Question 4 - Figure it out - Page 107 - Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash)

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Question 4 Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questionsVenn diagram looks like Question 4 (i) Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions— (i) What is the quadrilateral that is both a kite and a parallelogram?Rhombus. A rhombus has equal adjacent sides (like a kite) and parallel opposite sides (like a parallelogram). Another example is a Square Question 4 (ii) Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions— (ii) Can there be a quadrilateral that is both a kite and a rectangle?Yes, a Square. A square has equal adjacent sides (like kite) and 90° angles (like rectangle) Question 4 (iii) Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions— (iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?No. A kite only requires adjacent pairs of sides to be equal. A rhombus requires all sides to be equal. Therefore, a rhombus is a special type of kite, but not all kites are rhombuses.