Explain how a square is (i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8^th

Q. No. 3 of Exercises 3.4

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3

Explain how a square is
(i) a quadrilateral

(ii) a parallelogram
(iii) a rhombus

(iv) a rectangle

(i) A square is a quadrilateral since it has four sides

(ii) A square is a parallelogram since its opposite sides are parallel to each other

(iii) A square is a rhombus because its four sides are of the same length

(iv) A square is a rectangle because its each interior angle measures 90°

4

Chapter Exercises

Exercises 3.1

Exercises 3.2

Exercises 3.3

Exercises 3.4

1

State whether True or False
(a) All rectangles are squares

(b) All rhombuses are parallelograms

(c) All squares are rhombuses and also rectangles

(d) All squares are not parallelograms

(e) All kites are rhombuses

(f) All rhombuses are kites

(g) All parallelograms are trapeziums

(h) All squares are trapeziums

2

Identify all the quadrilaterals that have.
(a) Four sides of equal length

(b) Four right angles

3

Explain how a square is
(i) a quadrilateral

(ii) a parallelogram
(iii) a rhombus

(iv) a rectangle

4

Name the quadrilaterals whose diagonals
(i) Bisect each other

(ii) Are perpendicular bisectors of each other

(iii) Are equal

5

Explain why a rectangle is a convex quadrilateral

6

ABC is a right-angled triangle and O is the mid-point of the side opposite to the right angle. Explain why O is equidistant from A,B and C. (The dotted lines are drawn additionally to help you).