Practice 9 - Level 2 - Introduction to Euclid's Geometry - Set 1

Total Questions: 25

According to Euclid’s fifth postulate, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, what can be inferred?

Topic: Euclid's Postulates

The two straight lines will meet on the side where the angles are less than two right angles if extended indefinitely

The two straight lines will remain parallel

The two straight lines will intersect at right angles.

The two straight lines will never meet.

None

If line segment AB is extended to point C, what is the new line segment formed?

Topic: Basic Terms and Definitions

All of the above

None

A triangle has angles $ \displaystyle 30{}^\circ ,\text{ }60{}^\circ ,\text{ }and\text{ 9}0{}^\circ $ .Is it a right-angled triangle?

Topic: Euclid's Definitions

Yes

Cannot be determined

Not a valid triangle

None

Given three points A, B, and C, which are non-collinear, how many lines can be drawn through these points?

Topic: Euclid's Postulates

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 ∠AOB is $ \displaystyle 120{}^\circ $ and ∠BOC is $ \displaystyle 60{}^\circ $ what is ∠ AOC?

Topic: Basic Terms and Definitions

$ \displaystyle 60{}^\circ $

$ \displaystyle 240{}^\circ $

$ \displaystyle 180{}^\circ $

$ \displaystyle 90{}^\circ $

None

A rectangle has sides AB = 6 cm and BC = 8 cm. What is the length of the diagonal AC?

Topic: Basic Terms and Definitions

10 cm

12 cm

14 cm

8 cm

None

What is the area of a triangle with a base of 5 cm and a height of 10 cm?

Topic: Euclid's Definitions

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

$ \displaystyle 15\text{ }cm{}^\text{2}$

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

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

None

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

Topic: Euclid's Postulates

$ \displaystyle \text{14}0{}^\circ $

$ \displaystyle \text{10}5{}^\circ $

$ \displaystyle \text{8}0{}^\circ $

$ \displaystyle \text{9}0{}^\circ $

None

10.

If two parallel lines are cut by a transversal, which of the following pairs of angles are always equal?

Topic: Euclid's Postulates

Corresponding angles

Adjacent angles

Vertical angles

Linear pair angles

None

11.

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

Topic: Basic Terms and Definitions

14 cm

12 cm

10 cm

6 cm

None

12.

If a circle has a radius of 14 cm, what is its circumference?

Topic: Euclid's Definitions

44 cm

21 cm

88 cm

98 cm

None

13.

In the figure given below, if AB = AC and ∠BAC = $\displaystyle \text{4}0{}^\circ $ , what is ∠ABC?

Topic: Euclid's Postulates

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

$ \displaystyle \text{4}0{}^\circ $

$ \displaystyle \text{8}0{}^\circ $

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

None

14.

In the given figure, what is the length of the line segment connecting the midpoints of sides AB and CD in rectangle ABCD?

Topic: Basic Terms and Definitions

6 cm

5 cm

10 cm

12 cm

None

15.

What is the area of a circle with a diameter of 14 cm?

Topic: Euclid's Definitions

$ \displaystyle 77\text{ }cm{}^\text{2}$

$\displaystyle 154\text{ }cm{}^\text{2}$

$ \displaystyle 44\text{ }cm{}^\text{2}$

$ \displaystyle 28\text{ }cm{}^\text{2}$

None

16.

In the figure given below, lines AB and CD are parallel. If ∠OAB= $ \displaystyle \text{ 12}0{}^\circ $ and ∠OCD = $ \displaystyle \text{ 4}0{}^\circ $ , Find the value of 'x' i.e. ∠AOC?

Topic: Euclid's Postulates

$ \displaystyle \text{10}0{}^\circ $

$ \displaystyle \text{ 12}0{}^\circ $

$ \displaystyle \text{18}0{}^\circ $

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

None

17.

In a right-angled triangle, if one angle is $ \displaystyle 45{}^\circ $ ,what is the measure of the other non-right angle?

Topic: Basic Terms and Definitions

$ \displaystyle 60{}^\circ $

$ \displaystyle 90{}^\circ $

$ \displaystyle 30{}^\circ $

$ \displaystyle 45{}^\circ $

None

18.

If two angles are supplementary and one angle is $ \displaystyle 70{}^\circ $ , what is the other angle?

Topic: Euclid's Definitions

$ \displaystyle 110{}^\circ $

$ \displaystyle 70{}^\circ $

$ \displaystyle 50{}^\circ $

$ \displaystyle 30{}^\circ $

None

19.

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

20.

If the sides of a triangle are 5 cm, 12 cm, and 13 cm, is it a right-angled triangle?

Topic: Basic Terms and Definitions

Yes

Cannot be determined

Not a valid triangle

None

21.

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

Topic: Euclid's Definitions

$ \displaystyle 50{}^\circ $

$ \displaystyle 65{}^\circ $

$ \displaystyle 75{}^\circ $

$ \displaystyle 80{}^\circ $

None

22.

What is the area of a rectangle with length 12 cm and width 5 cm?

Topic: Basic Terms and Definitions

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

$ \displaystyle 60\text{ }cm{}^\text{2}$

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

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

None

23.

If line AB is parallel to line CD and line EF is a transversal, what is the measure of ∠EFD if ∠AEF = $ \displaystyle 70{}^\circ $ ?

Topic: Euclid's Postulates

$ \displaystyle {110{}^\circ }$

$ \displaystyle {70{}^\circ }$

$ \displaystyle {50{}^\circ }$

$ \displaystyle {30{}^\circ }$

None

24.

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: Euclid's Definitions

15 cm

21 cm

10 cm

8 cm

None

25.

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

Topic: Basic Terms and Definitions

Hexagon

Pentagon

Octagon

Heptagon

None

1 out of 25

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Practice 9 - Level 2 - Introduction to Euclid's Geometry - Set 1

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