Class 8 Practice – Level 2 – Set 2 – Practical Geometry

Total questions: 25

In the construction of a trapezium given the lengths of all four sides, which step should be done first?

Topic: Construction of Quadrilaterals

Draw one side using a ruler.

Measure and mark the parallel sides.

Draw the diagonals.

Use a compass to mark equal distances.

None

What is the primary use of a compass in practical geometry?

Topic: Tools for Construction

To measure angles.

To draw circles and arcs.

To mark the center of a shape.

To divide a line segment into equal parts.

None

When constructing a regular hexagon, what is the first step after drawing the initial circle?

Topic: Steps of Construction

Divide the circle into six equal parts using a protractor.

Draw all six sides with a ruler.

Mark the center of the circle.

Use the compass to mark the radii of the hexagon.

None

Which statement about the diagonals of a rectangle is true?

Topic: Special Cases of Parallelograms

The diagonals are equal and bisect each other at 90 degrees.

The diagonals are equal and bisect each other at the center.

The diagonals are perpendicular but not equal.

The diagonals are unequal and bisect at different points.

None

Why is a divider used in practical geometry?

Topic: Tools for Construction

To measure angles precisely.

To draw circles of different radii.

To transfer distances from one part of the drawing to another.

To mark the midpoints of line segments.

None

What is the correct step to construct an isosceles triangle when given the lengths of the base and the two equal sides?

Topic: Steps of Construction

Draw the base and mark the midpoint.

Use a protractor to measure the base angles.

Set the compass to the length of the equal sides and draw arcs from both ends of the base.

Measure the height of the triangle from the apex.

None

In the construction of a parallelogram given the lengths of adjacent sides and the included angle, what is the next step after drawing one side?

Topic: Construction of Quadrilaterals

Draw the adjacent side with the given angle using a protractor.

Use the compass to measure the angle.

Draw the diagonals to check the measurements.

Mark the center of the shape.

None

What distinguishes a rhombus from a general parallelogram?

Topic: Special Cases of Parallelograms

All four angles are 90 degrees.

The diagonals bisect each other at 90 degrees and are equal.

All four sides are equal.

Opposite sides are parallel and equal.

None

Which tool is essential for measuring and marking angles accurately in geometric construction?

Topic: Tools for Construction

Ruler

Divider

Compass

Protractor

None

10.

What is the next step after drawing the base of an isosceles triangle when given the lengths of the base and the two equal sides?

Topic: Steps of Construction

Draw the height of the triangle.

Use the compass to mark the equal sides and find the apex.

Measure the interior angles.

Extend the base to form a straight line.

None

11.

When constructing a quadrilateral given the lengths of all four sides and one angle, what is the most logical sequence of steps to follow?

Topic: Construction of Quadrilaterals

Draw one side, measure the given angle, and complete the quadrilateral by drawing the other sides.

Draw the diagonals first, then the sides.

Draw all four sides independently without any reference to the given angle.

Use a compass to find the diagonals first.

None

12.

Which property is unique to a rectangle compared to a general parallelogram?

Topic: Special Cases of Parallelograms

Opposite sides are parallel and equal.

Diagonals bisect each other.

All angles are 90 degrees.

Diagonals are equal but not bisected.

None

13.

Why is a ruler important in the process of constructing a triangle?

Topic: Tools for Construction

To measure angles accurately.

To draw straight lines and measure distances.

To mark the center of the triangle.

To divide the triangle into smaller sections.

None

14.

In the construction of a parallelogram given the lengths of the sides and one diagonal, what should be done after drawing the given diagonal?

Topic: Steps of Construction

Draw the sides adjacent to the diagonal using a protractor to maintain parallelism.

Mark the center of the parallelogram.

Extend the diagonal to intersect with the other sides.

Draw the second diagonal.

None

15.

What property do the diagonals of a rhombus have that is not necessarily true for a general parallelogram?

Topic: Special Cases of Parallelograms

They bisect each other at 90 degrees.

They are equal in length.

They bisect the interior angles.

They do not intersect.

None

16.

Which of the following tools is used to draw a line segment of a given length from a starting point?

Topic: Tools for Construction

Divider

Ruler

Compass

Protractor

None

17.

What is the next step after drawing a base when constructing a square given the length of one side?

Topic: Steps of Construction

Draw the diagonals of the square.

Measure and mark the right angles at each vertex.

Use a compass to draw circles centered at each vertex.

Extend the sides to make it a rectangle.

None

18.

How can you construct a parallelogram given the lengths of the adjacent sides and the measure of the angle between them?

Topic: Construction of Quadrilaterals

Draw one side and measure the adjacent angle to draw the second side, then complete the shape using parallel lines.

Draw the diagonals first and then join the vertices.

Use the compass to measure the angle and construct perpendicular bisectors.

Extend the sides to form a rhombus.

None

19.

What is the first step in constructing a trapezium given the lengths of all four sides?

Topic: Construction of Quadrilaterals

Draw the longest side and measure the two non-parallel sides.

Draw the parallel sides and then the non-parallel sides.

Draw the diagonals first and connect the vertices.

Use a protractor to mark the interior angles accurately.

None

20.

In a parallelogram where one of the angles measures 60 degrees, what is the measure of its adjacent angle?

Topic: Special Cases of Parallelograms

60 degrees

90 degrees

120 degrees

180 degrees

None

21.

Which tool would you use to transfer a specific length from one location to another when constructing a figure?

Topic: Tools for Construction

Ruler

Divider

Protractor

Compass

None

22.

When constructing a regular hexagon using a compass, what should be the length of the radius?

Topic: Steps of Construction

Equal to the length of one side of the hexagon.

Half the length of one side of the hexagon.

Twice the length of one side of the hexagon.

The length of the diagonal of the hexagon.

None

23.

What is the unique property of the diagonals of a square compared to other parallelograms?

Topic: Special Cases of Parallelograms

They are not equal in length but bisect each other.

They are equal in length and bisect each other at 90 degrees.

They do not bisect each other.

They bisect the angles of the square but are not equal.

None

24.

In constructing a parallelogram given the lengths of all sides and one angle, why is it necessary to use a protractor?

Topic: Construction of Quadrilaterals

To ensure the sides are perpendicular.

To measure and draw the included angle accurately.

To measure the diagonals.

To divide the parallelogram into triangles.

None

25.

What is the purpose of using a compass in the construction of a triangle when given two sides and the included angle?

Topic: Steps of Construction

To draw the base of the triangle.

To measure the length of the third side.

To mark equal distances for constructing the third side.

To bisect the angle between the two given sides.

None

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Class 8 Practice – Level 2 – Set 2 – Practical Geometry

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