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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. The instrument used to draw a circle is
(a) Ruler (b) Protractor (c) Divider (d) Compass
2. To draw a circle of radius 7 cm, the distance between the centre of the circle and any point on the
circle should be
(a) 2.5 cm (b) 5 cm (c) 10 cm (d) 7 cm
3. If we divide a line of 8 cm into two equal parts using a compass, how far should the compass be
opened?
(a) 2 cm (b) 5 cm (c) 3 cm (d) 35 cm
4. If a rectangle of length 7 cm and width 3 cm is rotated about its centre at a specific angle, does its
shape change?
(a) Yes, its shape changes (b) No, it stays the same

(c) It becomes a square (d) It becomes a circle
5. Two circles of radius 4 cm and 6 cm touching each other externally as shown in
figure. If you want to draw a larger circle inscribing both the circles, then what length
of radius will you choose for it?
(a) 10 cm (b) 5 cm (c) 3 cm (d) 12 cm
6. A ............... is a simple closed curve all of whose points are at the same distance from a fixed point.

(a) Diameter (b) Radius (c) Circle (d) None of these
7. To verify that a 4-sided figure is a rectangle, you must check that it has ............... right angles.
(a) One (b) Two (c) Three (d) Four
8. A flower pattern can be drawn by creating intersecting ............... that form a symmetrical pattern.
(a) Rectangles (b) Circles (c) Squares (d) None of these

B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion
(A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion
(A).
(c) Assertion (A) is true but Reason (R) is false.

(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): To draw a perfect circle, we need to know the centre and the radius.
Reason (R): The radius is the distance from the centre to any point on the circle, which helps you
draw the circle accurately.
2. Assertion (A): A compass alone is sufficient to construct a square.
Reason (R): A compass can draw only circles and arcs, but not straight lines.
3. Assertion (A): A compass alone can construct a perfect rectangle.
Reason (R): A rectangle requires straight lines and right angles, which a compass alone cannot
create.

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