Class 8 Maths MCQ – Practical Geometry

1. Which instrument is used to draw a circle?

a) Ruler
b) Protractor
c) Divider
d) Compass

Answer:

d) Compass

Explanation:

A compass is used to draw circles and arcs.

2. What is the main purpose of a protractor?

a) To draw circles
b) To measure angles
c) To draw straight lines
d) To measure the length of a segment

Answer:

b) To measure angles

Explanation:

A protractor is used to measure and construct angles.

3. Which of the following is essential to construct a unique triangle when three sides are given?

a) Angle bisector
b) Perpendicular bisector
c) Compass
d) Ruler and Compass

Answer:

d) Ruler and Compass

Explanation:

With the help of a ruler and compass, a unique triangle can be constructed using its three given sides (SSS criterion).

4. To construct a 60° angle, which basic construction is required?

a) Equilateral triangle
b) Right triangle
c) Isosceles triangle
d) Scalene triangle

Answer:

a) Equilateral triangle

Explanation:

The angles of an equilateral triangle are 60°. Hence, constructing one helps in getting the desired angle.

5. Which instrument is NOT typically used for constructions in practical geometry?

a) Pencil
b) Eraser
c) Set-square
d) Protractor

Answer:

b) Eraser

Explanation:

While erasers are handy for corrections, they aren't primarily used for geometrical constructions.

6. To bisect a given angle, which instruments are necessary?

a) Ruler and compass
b) Compass and protractor
c) Ruler and set-square
d) Set-square and protractor

Answer:

a) Ruler and compass

Explanation:

An angle can be bisected using a compass and ruler.

7. What is the main purpose of a set-square?

a) To measure angles
b) To draw circles
c) To draw parallel lines
d) To draw perpendicular lines

Answer:

d) To draw perpendicular lines

Explanation:

Set-squares are usually used to draw perpendicular and parallel lines.

8. To construct a 90° angle, we can use:

a) Ruler and compass
b) Protractor
c) Set-square
d) Both a) and c)

Answer:

d) Both a) and c)

Explanation:

A 90° angle can be constructed using a compass and ruler, or directly with a set-square.

9. The angle bisector of a given angle divides it into:

a) Two equal angles
b) Two unequal angles
c) A right angle and an acute angle
d) A right angle and an obtuse angle

Answer:

a) Two equal angles

Explanation:

An angle bisector divides the given angle into two equal parts.

10. A rhombus with a side of 5 cm can be constructed using:

a) SSS criterion
b) SAS criterion
c) ASA criterion
d) None of the above

Answer:

a) SSS criterion

Explanation:

A rhombus has all sides equal. Therefore, by the SSS criterion, it can be constructed using the given side length.

11. Which is NOT a basic construction in practical geometry?

a) Drawing a circle with a given radius
b) Drawing an angle using a protractor
c) Drawing a line segment of a given length
d) Drawing an ellipse with a given major and minor axis

Answer:

d) Drawing an ellipse with a given major and minor axis

Explanation:

Drawing an ellipse requires a specific set of tools and isn't considered a basic construction in practical geometry.

12. The construction of a triangle with two given sides and the included angle is based on which criterion?

a) ASA
b) SAS
c) SSS
d) AAS

Answer:

b) SAS

Explanation:

The SAS criterion involves two sides and the included angle.

13. To divide a line segment into a number of equal parts, you would need:

a) Compass
b) Ruler
c) Protractor
d) Both a) and b)

Answer:

d) Both a) and b)

Explanation:

A line segment can be divided into equal parts using a ruler and compass.

14. To construct a parallelogram, which of the following sets of measurements is NOT sufficient?

a) Two adjacent sides and an angle
b) Two adjacent angles and a side
c) Diagonals
d) All sides and one angle

Answer:

b) Two adjacent angles and a side

Explanation:

Two adjacent angles and a side aren't sufficient to construct a unique parallelogram.

15. A line segment is drawn using:

a) Compass
b) Protractor
c) Ruler
d) Set-square

Answer:

c) Ruler

Explanation:

Line segments are drawn using a ruler.

16. A triangle is said to be constructed uniquely if:

a) Three of its elements are given
b) At least one angle is given
c) All of its angles are given
d) All of its sides are given

Answer:

a) Three of its elements are given

Explanation:

A unique triangle can be constructed if any three of its elements (like SSS, SAS, ASA, or AAS) are given.

17. Which of the following can be constructed using only a straightedge?

a) Angle bisector
b) Perpendicular bisector
c) Equilateral triangle
d) Right triangle

Answer:

b) Perpendicular bisector

Explanation:

A perpendicular bisector can be constructed using only a straightedge if the points where the circle intersects the line segment are marked.

18. A right-angled triangle can be constructed uniquely when:

a) One angle and hypotenuse are given
b) All angles are given
c) One angle and one side are given
d) All sides are given

Answer:

a) One angle and hypotenuse are given

Explanation:

If one angle (which is 90°) and the hypotenuse are given, a right-angled triangle can be constructed uniquely.

19. If a triangle is constructed with two angles and the included side, it follows the:

a) SAS criterion
b) ASA criterion
c) AAS criterion
d) SSS criterion

Answer:

b) ASA criterion

Explanation:

Two angles and the included side relate to the ASA criterion.

20. To draw a line parallel to a given line through a point, which instrument is crucial?

a) Protractor
b) Compass
c) Set-square
d) Divider

Answer:

c) Set-square

Explanation:

A set-square helps in drawing a line parallel to a given line through a specific point.

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