Quiz: Could You Actually Pass This Geometry Trivia Test?

15 Questions | By Jagranjosh | Last updated: Oct 21, 2019 | Total Attempts: 719

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Quiz: Could You Actually Pass This Geometry Trivia Test?

Could You Actually Pass This Geometry Trivia Test? There are a lot of people who are quite negative when it comes to geometry. Some even believe that only a few can solve some problems. Which team do you identify with? The quiz below is perfect for perfecting your geometry skills. Do give it a shot and get as much practice as you need.

Questions and Answers

1.

The sum of all the angles of a triangle is:
- A.
  
  90^o
- B.
  
  180^o
- C.
  
  270^o
- D.
  
  360^o
2.

The exterior angle of a triangle is equal to___:
- A.
  
  Sum of all the angles in a triangle
- B.
  
  Sum of vertically opposite angles
- C.
  
  Sum of opposite interior angles in a triangle
- D.
  
  None of these
3.

What would be the distance between the point of intersection of the two tangents and the centre of the circle, if a circle of radius 6 cm is constructed from which two tangents are arise which are inclined at an angle of 60^o.
- A.
  
  15
- B.
  
  14
- C.
  
  13
- D.
  
  12
4.

To divide a line segment AB in the ratio 3 : 7, first a ray AX is drawn so that angle BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is
- A.
  
  3
- B.
  
  7
- C.
  
  10
- D.
  
  12
5.

To divide a line segment AB in the ratio 4 : 5, a ray AX is drawn first such that angle BAX is an acute angle and then points A₁, A₂, A₃,…. are located at equal distances on the ray AX and the point B is joined to:
- A.
  
  A₄
- B.
  
  A₅
- C.
  
  A₉
- D.
  
  A₁₀
6.

To divide a line segment AB in the ratio 4 : 5, draw a ray AX such that angle BAX is an acute angle, then draw a ray BY parallel to AX and the points A₁, A₂, A₃, and B_1, B₂, B₃.... are located at equal distances n ray AX and BY, respectively. Then the points joined are:
- A.
  
  A₄ and B₅
- B.
  
  A₅ and B₄
- C.
  
  A₅ and B₆
- D.
  
  A₆ and B₆
7.

To construct a triangle similar to a given ΔABC with its sides 2/5 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁, B₂, B₃,..... on BX at equal distances and next step is to join:
- A.
  
  B₂ to C
- B.
  
  B₃ to C
- C.
  
  B₄ to C
- D.
  
  B₅ to C
8.

To construct a triangle similar to a given ΔABC with its sides 5/3 of the corresponding sides of ΔABC draw a ray BX such that CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is
- A.
  
  2
- B.
  
  3
- C.
  
  5
- D.
  
  8
9.

To draw a pair of tangents to circle which are inclined to each other at an angle of 30°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :
- A.
  
  60^o
- B.
  
  90^o
- C.
  
  120^o
- D.
  
  150^o
10.

P₃ divides the line segment AP in the ratio:
- A.
  
  2 : 3
- B.
  
  4 : 1
- C.
  
  1 : 4
- D.
  
  3 : 2
11.

What ratio does the line segment A₃B₂ represent in the following figure:
- A.
  
  3 : 2
- B.
  
  2 : 3
- C.
  
  Both (a) & (b)
- D.
  
  Neither (a) & (b)
12.

The scale factor means:
- A.
  
  The ratio of angles of the triangle to be constructed with the corresponding angle of the given triangle
- B.
  
  The ratio of sides of the triangle to be constructed with the corresponding sides of the given triangle
- C.
  
  Both (a) & (b)
- D.
  
  Neither (a) & (b)
13.

If two tangents are drawn at the end points of two radii of a circle which are inclined at 130^o to each other, then the pair of tangents will be inclined to each other at an angle of:
- A.
  
  40^o
- B.
  
  50^o
- C.
  
  60^o
- D.
  
  70^o
14.

To draw a pair of tangents to a circle which is at right angles to each other, it is required to draw tangents at endpoints of the two radii of the circle, which are inclined at an angle of:
- A.
  
  60^o
- B.
  
  80^o
- C.
  
  90^o
- D.
  
  120^o
15.

Two circles touch each other externally at Q and PR is a common tangent to the circles. Then, ∠PQR is:
- A.
  
  0^o
- B.
  
  90^o
- C.
  
  180^o
- D.
  
  360^o

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