Class 8 Practice – Level 3 – Set 1 – Practical Geometry

Total questions: 15

When constructing a quadrilateral given the lengths of all four sides and one diagonal, how can you ensure that the shape is closed properly?

Topic: Construction of Quadrilaterals

By checking if the sum of opposite sides is equal.

By measuring all the angles and confirming that they sum up to 360 degrees.

By verifying that the diagonals bisect each other.

By using the Pythagorean theorem on the diagonals.

None

Which property is unique to a rhombus compared to other parallelograms?

Topic: Special Cases of Parallelograms

The diagonals bisect each other at right angles and are equal in length.

The diagonals bisect each other at right angles but are not equal in length.

Opposite angles are supplementary.

All sides are equal in length.

None

When constructing a triangle with given side lengths using a compass, why is it necessary to adjust the compass to the length of one side before starting?

Topic: Tools for Construction

To create an arc that represents the base of the triangle.

To mark points that will intersect at the correct location.

To ensure the side is perpendicular to the other side.

To measure the angles precisely.

None

What is the role of a protractor in the construction of a triangle when given two sides and an included angle?

Topic: Steps of Construction

To measure the length of the third side.

To mark the correct angle at the vertex.

To bisect the given angle.

To draw the perpendicular bisector of one side.

None

When constructing a quadrilateral where the lengths of all sides and the measures of two adjacent angles are known, what is the critical step to ensure the quadrilateral is constructed correctly?

Topic: Construction of Quadrilaterals

Drawing the diagonals first and then joining the sides.

Confirming that the sum of opposite sides is equal.

Using a protractor to measure the angles accurately.

Drawing one side and then using the compass to construct the remaining sides.

None

In a parallelogram where the diagonals are equal in length and bisect each other at right angles, what type of parallelogram is being described?

Topic: Special Cases of Parallelograms

Rectangle

Rhombus

Square

Trapezium

None

What is the advantage of using a divider over a ruler during the construction of geometric figures?

Topic: Tools for Construction

A divider provides a more precise length measurement.

A divider can transfer a length without altering the size of the distance.

A divider can measure angles accurately.

A divider is used to bisect angles.

None

When constructing a regular pentagon, what is the first step after setting the length of one side with a compass?

Topic: Steps of Construction

Draw a circle with the compass set to the length of the side.

Draw the diagonals to find the center.

Mark the vertices and connect them with a straight edge.

Measure the internal angles with a protractor.

None

Which statement about the diagonals of a rectangle is correct?

Topic: Special Cases of Parallelograms

The diagonals bisect each other but are not equal in length.

The diagonals are equal in length and bisect each other.

The diagonals bisect each other at right angles.

The diagonals are equal but do not bisect each other.

None

10.

When constructing a quadrilateral given the diagonals and two adjacent sides, what must be verified to ensure the quadrilateral is accurately constructed?

Topic: Construction of Quadrilaterals

The sum of the angles must be 360 degrees.

The diagonals must be perpendicular to each other.

The diagonals must bisect each other.

The angle between the diagonals must be 90 degrees.

None

11.

When constructing a perpendicular bisector of a given segment, what is the role of the compass?

Topic: Tools for Construction

To mark the midpoint of the segment directly.

To draw arcs from both endpoints so that they intersect at a point.

To measure the length of the segment precisely.

To create a circle that encloses the segment.

None

12.

Which step is critical for constructing an equilateral triangle when the side length is given?

Topic: Steps of Construction

Drawing an arc from one endpoint with a radius equal to the given side length.

Marking a right angle at the midpoint of the base.

Using a protractor to measure the internal angles.

Connecting the endpoints with a straight line.

None

13.

When constructing a parallelogram given the lengths of adjacent sides and one angle, what is the next step after drawing the initial side?

Topic: Construction of Quadrilaterals

Draw the other side parallel to the first.

Measure the opposite angle using a protractor.

Use a compass to mark the remaining points.

Draw a line perpendicular to the initial side.

None

14.

In which type of parallelogram do the diagonals not only bisect each other but also are equal in length?

Topic: Special Cases of Parallelograms

Rhombus

Rectangle

Square

Trapezoid

None

15.

Why is it important to use a ruler or a straightedge when constructing polygons?

Topic: Tools for Construction

To measure the angles accurately.

To ensure the sides are equal in length.

To connect points to form straight lines and accurate sides.

To mark the vertices of the polygon precisely.

None

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Class 8 Practice – Level 3 – Set 1 – Practical Geometry

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