Practice 9 - Level 2 - Introduction to Euclid's Geometry - Set 2

Total Questions: 25

In the given figure, AB = 8 cm and BC = 6 cm. What is the length of AC in triangle ABC if angle ABC is $ \displaystyle \text{9}0{}^\circ $ ?

Topic: Basic Terms and Definitions

10 cm

12 cm

14 cm

6 cm

None

In the given figure, if lines AB and CD are parallel, What will the measure of ∠DNE be?

Topic: Euclid's Postulates

$ \displaystyle 180{}^\circ $

$ \displaystyle 120{}^\circ $

$ \displaystyle 105{}^\circ $

$ \displaystyle 130{}^\circ $

None

In the given figure, what is the measure of angle B if AB = AC and angle A = $ \displaystyle 50{}^\circ $ ?

Topic: Euclid's Definitions

$ \displaystyle 50{}^\circ $

$ \displaystyle 65{}^\circ $

$ \displaystyle 75{}^\circ $

$ \displaystyle 80{}^\circ $

None

If AB = 5 cm and BC = 12 cm. Is triangle ABC a right-angled triangle?

Topic: Basic Terms and Definitions

Yes

Cannot be determined

Not a valid triangle

None

If a circle has a radius of 7 cm, what is its circumference?

Topic: Euclid's Definitions

44 cm

21 cm

14 cm

28 cm

None

If ∠BAC = $ \displaystyle 90{}^\circ $ , what type of triangle is ABC?

Topic: Euclid's Postulates

Right-angled triangle

Acute-angled triangle

Obtuse-angled triangle

Equilateral triangle

None

If two angles are supplementary and one angle is $ \displaystyle \text{7}0{}^\circ $, what is the other angle?

Topic: Euclid's Definitions

$ \displaystyle \text{5}0{}^\circ $

$ \displaystyle \text{7}0{}^\circ $

$ \displaystyle \text{11}0{}^\circ $

$ \displaystyle \text{3}0{}^\circ $

None

What is the length of the side opposite to the right angle in a right-angled triangle with sides 9 cm and 12 cm?

Topic: Basic Terms and Definitions

15 cm

21 cm

10 cm

8 cm

None

If a polygon has 6 sides, what is it called?

Topic: Basic Terms and Definitions

Heptagon

Pentagon

Octagon

Hexagon

None

10.

Which of the following is an axiom?

Topic: Euclid's Postulates

Universal truth specific to geometry

Definitions

The universal truth in all branches of Mathematics

Theorems

None

11.

In the given figure, what is the measure of ∠B if AB = AC and ∠A = $ \displaystyle 50{}^\circ $ ?

Topic: Euclid's Definitions

$ \displaystyle 80{}^\circ $

$ \displaystyle 50{}^\circ $

$ \displaystyle 85{}^\circ $

$ \displaystyle 65{}^\circ $

None

12.

If diagonals AC and BD intersect at point O, what is the length of diagonal AC in rectangle ABCD with sides AB = 12 cm and BC = 5 cm?

Topic: Basic Terms and Definitions

17 cm

10 cm

13 cm

12 cm

None

13.

In the given figure, if ∠AOC is $ \displaystyle 120{}^\circ $ , what is ∠BOD?

Topic: Euclid's Postulates

$ \displaystyle 30{}^\circ $

$ \displaystyle 60{}^\circ $

$ \displaystyle 120{}^\circ $

$ \displaystyle 90{}^\circ $

None

14.

What is the length of the arc AB in a circle with center O and radius 5 cm, where ∠AOB = $ \displaystyle \text{60}{}^\circ $ ?

Topic: Basic Terms and Definitions

$ \displaystyle \frac{{10\pi }}{{3}}$ cm

$ \displaystyle \frac{{5\pi }}{{2}}$ cm

$ \displaystyle \frac{{5\pi }}{{3}}$ cm

$ \displaystyle \frac{{10\pi }}{{7}}$ cm

None

15.

What is the area of trapezoid ABCD with bases AB = 8 cm, CD = 12 cm, and height 5 cm?

Topic: Euclid's Definitions

$ \displaystyle 30\text{ }cm{}^\text{2}$

$ \displaystyle 40\text{ }cm{}^\text{2}$

$ \displaystyle 50\text{ }cm{}^\text{2}$

$ \displaystyle 25\text{ }cm{}^\text{2}$

None

16.

How many dimension does a surface has?

Topic: Basic Terms and Definitions

None

17.

Which of the following are boundaries of a surface?

Topic: Basic Terms and Definitions

Points

Lines

Curves

Surfaces

None

18.

How many dimensions a solid has?

Topic: Basic Terms and Definitions

None

19.

How many dimension a point has?

Topic: Basic Terms and Definitions

None

20.

The shape of the base of a pyramid is:

Topic: Basic Terms and Definitions

Square

Recatngle

Triangle

Any polygon

None

21.

The three steps from solids to points are:

Topic: Euclid's Definitions

Solids – surfaces – lines- points

Solids – lines – surfaces – points

Lines – surfaces – points – solids

Lines – points – surfaces – solids

None

22.

Which of the following needs a proof?

Topic: Euclid's Postulates

Theorems

Axioms

Postulate

Definition

None

23.

It is known that if x + y = 30 then x + y + z = 30 + z. Euclid’s axiom that illustrates this statement is

Topic: Euclid's Axioms

First Axiom

Second Axiom

Third Axiom

Fourth Axiom

None

24.

The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:

Topic: Triangle Properties

None

25.

Which of the following is not a Euclidean construction tool?

Topic: Euclid's Definitions

Ruler

Compass

Protractor

Divider

None

1 out of 25

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Practice 9 - Level 2 - Introduction to Euclid's Geometry - Set 2

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