Geometry SSC CHSL Questions

Geometry

Geometry MCQ Questions

1.

In △ABC, ∠A = 135°, CA = \(5\sqrt{2}\) cm and AB = 7 cm. E and F are the midpoints of sides AC and AB, respectively. The length of EF (in cm) is:


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A.

6.5

B.

5.5

C.

6

D.

5

ANSWER :

A. 6.5

2.

The altitude AD of a triangle ABC is 9 cm. If AB = 6\(\sqrt{3}\) cm and CD = 3\(\sqrt{3}\) cm, then what will be the measure of ∠A?


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A.

90°

B.

30°

C.

45°

D.

60°

ANSWER :

D. 60°

3.

In △ABC, AD is a median. If points E, F and G are midpoints of AD, AE and DE, respectively, then what will be the area of △BFG?


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A.

\(\tfrac{1}{2}(\text{Area }\triangle ABC)\)

B.

\(\tfrac{1}{8}(\text{Area }\triangle ABC)\)

C.
\(\tfrac{1}{4}(\text{Area }\triangle ABC)\)
D.

\(\tfrac{1}{2}(\text{Area }\triangle BGC)\)

ANSWER :

C. \(\tfrac{1}{4}(\text{Area }\triangle ABC)\)

4.

Find the area (in cm2) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm?


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A.

400π and 40

B.

40 and 400π

C.

400 and 40

D.

40 and 400

ANSWER :

A. 400π and 40

5.

What is the area (in m2, up to 1 place of decimal) of an equilateral triangular field of sides 8.5 m?


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A.

\(\dfrac{18.1}{\sqrt{3}}\)

B.

\(18.1\sqrt{3}\)

C.

\(\dfrac{72.25}{\sqrt{3}}\)

D.

\(72.25\sqrt{3}\)

ANSWER :

B. \(18.1\sqrt{3}\)

6.

The centroid of an equilateral triangle △ABC is O. If AB = 27 cm, then the length of AO is:


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A.

\(9\sqrt{3}\ \text{cm}\)

B.

\(6\sqrt{3}\ \text{cm}\)

C.

\(7\sqrt{3}\ \text{cm}\)

D.

\(8\sqrt{3}\ \text{cm}\)

ANSWER :

A. \(9\sqrt{3}\ \text{cm}\)