Exercise 21A
Question 1
The following shapes are drawn on squared paper. Name each shape.
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Question 2
Fill in the blanks.
(i) A quadrilateral with all sides and all angles equal is a
(ii) A quadrilateral with four equal sides and no right angles can be called a
(iii) A quadrilateral with exactly two sides parallel is a
(iv) The diagonals of this quadrilateral are equal but not perpendicular. The quadrilateral is a
(v) All rectangles, squares and rhombus are , but a trapezium is not.
Question 3
Determine if the given statements are sometimes, always or never true.
(i) A parallelogram is a quadrilateral.
(ii) A parallelogram is a trapezium.
(iii) A rhombus is a square.
(iv) A trapezium is a quadrilateral.
(v) A rectangle is a square.
(vi) A square is a rhombus.
(vii) A square is a rectangle.
(viii) Four sided plane figures are parallelograms.
Question 4
4. Write ' T ' for True or 'F' for false.
(i) Each angle of a rectangle is a right angle.
(ii) The opposite sides of a rectangle are equal in length.
(iii) The diagonals of a square are perpendicular to one another.
(iv) All the sides of a rhombus are of equal length.
(v) All the sides of a parallelogram are of equal length.
(vi) The opposite sides of a trapezium are parallel.
Question 5
Give reasons for the following.
(i) A square can be thought of as a special rectangle.
(ii) A rectangle can be thought of as a special parallelogram.
(iii) A square can be thought of as a special rhombus.
(iv) Squares, rectangles, parallelograms are all quadrilaterals.
(v) Square is also a parallelogram.
Multiple Choice Questions (MCQs)
Tick (✔) the correct option.
Question 6
A quadrilateral whose diagonals are equal and bisect each other at right angles is a
(a) parallelogram
(b) rectangle
(c) rhombus
(d) square
Question 7
A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame?
(a) Square
(b) Rectangle
(c) Rhombus
(d) Trapezium
Question 8
A figure is said to be regular, if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?
(a) Parallelogram
(b) Rhombus
(c) Square
(d) Rectangle.
Question 9
Which quadrilateral is not a parallelogram?
(a) Rectangle
(b) Trapezium
(c) Square
(d) Rhombus
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