# Practical Geometry

14. Which of the following angles can always be constructed using ruler and compasses?

• (A) 40°
• (B) 115°
• (C) 15°
• (D) 150°

13. Lines a, b, p, q, m, n and x have a point P common to all of them. What is the name of P?

• (A) Point of concurrence
• (B) Point of intersection
• (C) Common point
• (D) Distinct point

12. The common angle found in the two set-squares of a geometry box is

• (A) 30°
• (B) 60°
• (C) 45°
• (D) 90°

11. An angle of 15° is drawn using ruler and compasses. How is it done?

• (A) Bisecting 60° angle
• (B) Bisecting 60° and 120° angles
• (C) Bisecting 60° and then bisecting it again
• (D) Bisecting a 60° and 180° angles

10. How do you draw a 90° angle?

• (A) By drawing a perpendicular to a line from a point lying on it
• (B) By bisecting a 120° angle
• (C) By bisecting a 60° angle
• (D) By drawing multiples of 45° angle

9. How many arcs are to be drawn to construct an angle 60°?

• (A) 1
• (B) 3
• (C) 5
• (D) 7

8. How many arcs are to be drawn to construct an angle 90°?

• (A) 1
• (B) 3
• (C) 5
• (D) 7

7. Axis of symmetry of the line segment AB of length 7.3 cm is

• (A) the line AB itself
• (B) any perpendicular to AB
• (C) the perpendicular bisector of AB
• (D) the bisector of AB

6. Let A, B be the centres of two circles of equal radii. Let each one of them passes through the centre of the other. If they intersect at C and D, the angle between AB and CD is

• (A) 30°
• (B) 60°
• (C) 45°
• (D) 90°

5. Given AB of length 7.3 cm and CD of length 3.4 cm. Let the line segment XY is equal to the difference between the lengths of AB and CD. Length of XY is

• (A) 4.9 cm
• (B) 3.9 cm
• (C) 4.5 cm
• (D) 4.1 cm

4. Consider a circle with centre C and radius 3.4 cm. If we draw the perpendicular bisector of any chord AB, it always passes through the point

• (A) A
• (B) B
• (C) C
• (D) A, B and C

3. QZ is the bisector of ∠PQZ = ∠PQR. Which of the following is true?

• (A) ∠PQZ = ∠PQR
• (B) ∠PQZ = ∠ZQR
• (C) ∠PQZ = ∠ZQR/2
• (D) Both [B] and [C]

2. XY bisects ∠AXB. If ∠YXB = 37.5°, what is the measure of ∠AXB?

• (A) 37.5°
• (B) 74°
• (C) 64°
• (D) 75°

1. XY divides ∠MXN = 72° in the ratio 1 : 2. What is the measure of ∠YXN?

• (A) 48°
• (B) 24°
• (C) 72°
• (D) 96°