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Give reasons for the following:
(a) A square can be thought of as a special rectangle.
(b) A rectangle can be thought of as a special parallelogram.
(c) A square can be thought of as a special rhombus.
(d) Square, rectangles, parallelograms are all quadrilaterals.
(e) Square is also a parallelogram.

Solution:

We will be using the concepts of quadrilaterals to solve this.

(a) Yes, a square can be thought of as a special rectangle since it has all the rectangle properties.

(b) Yes, a rectangle can be thought of as a special parallelogram as it has the same properties as that of a parallelogram.

(c) Yes, a square can be considered a special rhombus as it has the same properties as that of a rhombus.

(d) Square, rectangles, and parallelogram are all quadrilateral as they are all enclosed by four sides.

(e) Yes, a square is also a parallelogram as it has the same properties as that of a parallelogram.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.7 Question 2

Give reasons for the following: (a) A square can be thought of as a special rectangle. (b) A rectangle can be thought of as a special parallelogram. (c) A square can be thought of as a special rhombus. (d) Square, rectangles, parallelograms are all quadrilaterals. (e) Square is also a parallelogram.

Summary:

(a) Yes, a square can be thought of as a special rectangle since it has all the rectangle properties. (b) Yes, a rectangle can be thought of as a special parallelogram as it has the same properties as that of a parallelogram. (c) Yes, a square can be considered a special rhombus as it has the same properties as that of a rhombus. (d) Square, rectangles, and parallelogram are all quadrilateral as they are all enclosed by four sides. (e) Yes, a square is also a parallelogram as it has the same properties as that of a parallelogram.

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