GK Quiz ► Geometry

Q2. The vertex angle of an isosceles triangle measures seven times the measure of a base angle. Find the measure of the base angle.

(a) 20°

(b) 24°

(c) 36°

(d) 43°

Q4. Let O be the in-centre of a triangle ABC and D be a point on the side BC of ∆ABC, such that OD⊥BC. If ∠BOD = 15°, then ∠ABC =

(a) 75°

(b) 45°

(c) 150°

(d) 90°

Q5. AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT = 75° and ∠BAC = 45°. C is a point on the circle on the other side of T, then ∠ABC is equal to:

(a) 40°

(b) 45°

(c) 60°

(d) 70°

 

Q6. In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC

(a) 2 : 1

(b) 1 : 2

(c) 4 : 5

(d) 3 : 5

Q7. If in a ∆ABC, the medians CD and BE intersect each other at O, then the ratio of the area of ∆ODE and ∆ABC is:

(a) 1: 6

(b) 6: 1

(c) 1: 12

(d) 12: 1

Q8. The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is:

(a) 12 cm

(b) 9/2cm

(c) 4 cm

(d) 9 cm

Q14. In a triangle from each vertices parallel line are drawn to opposite sides. Find the ratio of the perimeter of the new triangle and the initial triangle.

(a) 3: 2

(b) 4: 1

(c) 2: 1

(d) 2: 3

Answers:

1. b
2. a
3. b
4. c
5. c
6. a
7. c
8. d
9. a
10. b
11. b
12. d
13. d
14. c
15. b