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Worksheets

Mastering Practical Geometry

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What is the measure of an angle that is complementary to a 35° angle?

a)

25°

b)

55°

c)

45°

d)

70°

2.

Using a compass, how would you construct a circle with a radius of 5 cm?

a)

Place the compass point at the edge of the circle and draw a line.

b)

Set the compass width to 10 cm and draw the circle.

c)

To construct a circle with a radius of 5 cm using a compass, place the compass point at the center, set the width to 5 cm, and draw the circle.

d)

Use a ruler to measure 5 cm and draw a straight line.

3.

If two triangles are similar, what can you say about their corresponding angles?

a)

The corresponding angles are supplementary.

b)

The corresponding angles are complementary.

c)

The corresponding angles are unequal.

d)

The corresponding angles are equal.

4.

Calculate the area of a rectangle with a length of 8 cm and a width of 3 cm.

a)

21 cm²

b)

24 cm²

c)

30 cm²

d)

18 cm²

5.

Draw a perpendicular bisector of a line segment measuring 6 cm.

a)

The bisector creates an angle of 45 degrees with the segment.

b)

The perpendicular bisector is a line that extends beyond the segment without intersecting it.

c)

The perpendicular bisector is a line that divides the 6 cm segment into two equal parts at a right angle.

d)

The bisector divides the segment into three equal parts.

6.

What is the sum of the interior angles of a triangle?

a)

120 degrees

b)

90 degrees

c)

180 degrees

d)

360 degrees

7.

Using a straightedge, how do you extend a line segment?

a)

Draw a circle around the line segment using the straightedge.

b)

Align the straightedge with the line segment and draw a line extending from one endpoint.

c)

Place the straightedge perpendicular to the line segment and draw a new line.

d)

Cut the line segment in half with the straightedge.

8.

If two angles are congruent, what does that imply about their measures?

a)

Their measures are equal.

b)

Their measures are complementary.

c)

Their measures are different.

d)

Their measures are supplementary.

9.

Calculate the perimeter of a square with a side length of 4 cm.

a)

16 cm

b)

8 cm

c)

12 cm

d)

20 cm

10.

Construct an equilateral triangle with a side length of 6 cm using a compass and straightedge.

a)

A right triangle with a side length of 6 cm.

b)

An equilateral triangle with a side length of 6 cm.

c)

A square with a side length of 6 cm.

d)

An isosceles triangle with two sides of 6 cm.

11.

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

a)

40 cm²

b)

15 cm²

c)

30 cm²

d)

25 cm²

12.

If two polygons are congruent, what can you say about their corresponding sides?

a)

The corresponding sides of congruent polygons are different in length.

b)

The corresponding sides of congruent polygons are equal in length.

c)

The corresponding sides of congruent polygons are proportional in length.

d)

The corresponding sides of congruent polygons can be of any length.

13.

Draw a triangle with sides measuring 5 cm, 7 cm, and 9 cm. What type of triangle is it?

a)

Right triangle

b)

Equilateral triangle

c)

Obtuse triangle

d)

Acute triangle

14.

What is the measure of each angle in a regular hexagon?

a)

120 degrees

b)

180 degrees

c)

150 degrees

d)

90 degrees

15.

Using a compass, how would you find the midpoint of a line segment?

a)

The midpoint of a line segment can be found by drawing arcs from both endpoints and connecting their intersection points.

b)

Use a ruler to find the average of the two endpoints' coordinates.

c)

Draw a perpendicular line from one endpoint to the other.

d)

Measure the length of the segment and divide by two.

16.

Calculate the area of a circle with a radius of 3 cm (use π = 3.14).

a)

28.00 cm²

b)

30.14 cm²

c)

25.12 cm²

d)

28.26 cm²

17.

If two figures are similar, how do their areas compare?

a)

The areas of similar figures are equal.

b)

The areas of similar figures are in the ratio of the square of their corresponding side lengths.

c)

The areas of similar figures are in the ratio of their side lengths.

d)

The areas of similar figures are in the ratio of the cube of their corresponding side lengths.

18.

Draw a right triangle with one angle measuring 30°. What are the measures of the other two angles?

a)

90°, 60°

b)

90°, 45°

c)

60°, 30°

d)

45°, 45°

19.

What is the perimeter of a rectangle with a length of 10 cm and a width of 4 cm?

a)

20 cm

b)

30 cm

c)

28 cm

d)

24 cm

20.

Using a straightedge, how do you create an angle bisector?

a)

Draw a line from the vertex to the opposite vertex.

b)

To create an angle bisector, draw a line from the vertex of the angle to the midpoint of the opposite side.

c)

Connect the two endpoints of the angle's sides.

d)

Use a compass to measure the angle and draw a line.