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

C. State whether the following statements are True (T) or False (F).

1. With a given centre and a given radius, only one circle can be drawn.
2. While constructing a circle, the diameter is twice the length of the radius.
3. The diagonals of a square are always of different lengths.

4. To construct a square, we need to ensure that all four sides are equal and all the angles are 90°.
D. Solve the following questions.

1. Draw rough diagrams with a free hand to illustrate the following:
(a) Open curve (b) Closed curve
2. With the same radius O, draw two circles of radii 4.6 cm and 6.2 cm.

3. Which of the following are squares and rectangles in the given collection?

A B
C

E
D

F
G

4. Construct the following shapes (with 6 cm side lengths of the boundary squares) with the help of a
ruler and compass.

(a) (b) (c)

5. Recreate the images given below using a ruler and a compass:

(a) (b)

6. Sumedha has purchased a new mobile phone with display size 6 cm by 14 cm, in the form
of a rectangle. She decides to create a rectangle with the same dimensions that the mobile
display has. Help her to draw this rectangle.

7. Construct a rectangle of sides 8.2 cm and 4 cm. How will you construct a square inside, as
shown in the figure, such that the centre of the square is the same as the centre of the rectangle?
8.2 cm

4 cm

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