Playing with Constructions — Practice

Q1. Of Ganita Prakash, a curve is described as

• A. Only a wavy line drawn freehand
• B. Only the boundary of a circle
• C. Any shape that can be drawn on paper with a pencil
• D. A line that bends but does not cross itself

Q2. Which of these is NOT a curve?

• A. Three separate points marked on paper
• B. A circle
• C. A wavy line
• D. A straight line

Q3. To set a compass for drawing a curve of radius 4 cm, Ravi should

• A. Mark a point 4 cm from his finger on the page
• B. Open the compass against a ruler so the tip and the pencil are 4 cm apart
• C. Open the compass against a ruler so both legs are 4 cm long
• D. Hold the compass in any open position and start drawing

Q4. The hint given for drawing a full curve with a compass is

• A. Keep the tip of the compass fixed and move only the pencil
• B. Keep the pencil fixed and move only the tip
• C. Move both the tip and the pencil together
• D. Press the compass hard so the radius changes as it moves

Q5. In the figure the point P at the centre of the circle drawn with a compass is called the

• A. Centre of the circle
• B. Radius of the circle
• C. Arc of the circle
• D. Boundary of the circle

Q6. The radius of a circle is best defined as

• A. The total length of the boundary of the circle
• B. Twice the distance across the centre
• C. The distance between any two points on the circle
• D. The distance between the centre and any point on the circle

Q7. Property R1 of a rectangle, as stated in the chapter, is

• A. All four sides are equal in length
• B. All four angles add up to 360°
• C. Both diagonals are equal in length
• D. The opposite sides are equal in length

Q8. Property R2 of a rectangle states that

• A. All the angles are 60°
• B. Only two adjacent angles are 90°
• C. Only the opposite angles are 90°
• D. All the angles are 90°

Q9. Property S1 of a square, is

• A. The diagonals are equal
• B. Only opposite sides are equal
• C. All the sides are equal
• D. The diagonals meet at 60°

Q10. A square piece of paper is rotated as shown so that one corner points downward. Is the rotated figure still a square?

• A. No, because it now looks like a diamond
• B. No, because its sides are slanted
• C. Yes, because rotation does not change side lengths or angles
• D. Yes, but only if the rotation is exactly 45°

Q11. The very first step in constructing a square PQRS of side 6 cm is

• A. Draw the base line segment PQ of length 6 cm
• B. Mark the point R at a guessed location
• C. Draw a perpendicular at P
• D. Draw a circle of radius 6 cm with centre P

Q12. In STEP 2 of constructing the 6 cm square PQRS, the tool used to draw a perpendicular to PQ through P is

• A. A compass
• B. Only a ruler
• C. A pair of scissors
• D. A protractor

Q13. A rectangle is to be constructed where one side is 5 cm and one diagonal is

• A. 4 cm
• B. 5 cm
• C. 10 cm
• D. 7 cm

Q14. In the House construction, the length of each side AB, BD, DE, CE and AC of the house border is

• A. 3 cm
• B. 5 cm
• C. 7 cm
• D. 10 cm

Q15. In the House construction, the roof-point A must be located such that it is

• A. On the line BC, anywhere between B and C
• B. 5 cm above the midpoint of DE
• C. 5 cm away from B and 5 cm away from C
• D. Directly above the midpoint of BC, at any distance