Scale Factor and Similar Shapes Quiz

Two shapes are similar if they have:

• Equal perimeters

• Equal angles and proportional sides

• The same size and shape

• The same area

The scale factor between two similar shapes is the ratio of their:

• Perimeters

• Corresponding side lengths

• Volumes

• Surface areas

If the scale factor of two similar shapes is 3, what is the ratio of their perimeters?

• 3:1

• 9:1

• 27:1

• 1:3

The scale factor of two similar triangles is 5. If the smaller triangle has a side of 6 cm, what is the length of the corresponding side in the larger triangle?

• 11 cm

• 30 cm

• 60 cm

• 36 cm

A rectangle is enlarged by a scale factor of 2. If the original width is 4 cm, what is the new width?

• 6 cm

• 8 cm

• 10 cm

• 16 cm

If the scale factor of two similar shapes is 4, what is the ratio of their areas?

• 4:1

• 8:1

• 16:1

• 64:1

The area of a smaller similar rectangle is 25 cm². The scale factor between the rectangles is 3. What is the area of the larger rectangle?

• 50 cm²

• 75 cm²

• 225 cm²

• 100 cm²

Two similar circles have a scale factor of 5. If the smaller circle has an area of 12 cm², what is the area of the larger circle?

• 25 cm²

• 60 cm²

• 120 cm²

• 300 cm²

The sides of two similar parallelograms are in the ratio 2:5. If the smaller parallelogram has an area of 24 cm², what is the area of the larger one?

• 30 cm²

• 60 cm²

• 150 cm²

• 300 cm²

The scale factor between two similar pentagons is 1:3. If the area of the larger pentagon is 81 cm², what is the area of the smaller pentagon?

• 27 cm²

• 9 cm²

• 243 cm²

• 54 cm²