Question

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) Squares, rectangles, parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.




Please if you are searching in internet search one question each and then answer as

a) abcde
b) abcde
c) abcde
d) abcde
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Answer 1

Answer :-

Give reasons for the following:

(a) A square can be thought of as a special rectangle

• We know that in a rectangle, opposite sides are equal and each angle is a right angle. If all its side are equal, then it becomes square. So, a square can be thought of as a special rectangle.

(b) A rectangle can be thought of as a special parallelogram.

• We know that in a parallelogram, opposite sides are parallel as well as equal and opposite angles are equal. If its opposite angles are right angles, then it becomes a rectangle. So, a rectangle can be thought of as a special parallelogram.

(c) A square can be thought of as a special rhombus.

• We know that in a rhombus, all four sides are equal and opposite sides are parallel. If its all angles are right angles, then it become a square. So, a square can be thought of as a special rhombus.

(d) Squares, rectangles, parallelograms are all quadrilaterals

• We know that a polygon, which has four sides is called a quadrilateral. Square, rectangle and parallelogram also have four sides. So, these all are quadrilaterals.

(e) Square is also a parallelogram

• We know that in a parallelogram, opposite sides are parallel as well as equal and opposite angles are equal. In a square, opposite sides are parallel as well as equal and opposite angles are equal to right angle. So, a square is also a parallelogram.

Answer 2

Questions-

• 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) Squares, rectangles, parallelograms are all quadrilaterals.

Answers-

• a) Because all its angles are right angle and opposite sides are equal.
• b) Because its opposite sides are equal and parallel And each angle is 90 degree.
• c) Because its four sides are equal and diagonals are perpendicular to each other And all the angles are 90 degree.
• d) Because all of them have four sides.
• e) Because its opposite sides are equal and parallel.

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