Similar Figures and Area

Find the area of polygon B given similar polygons and the scale factor is shown. Round your answer to the nearest tenth.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?

• 6.67 m²

• 3.33 m²

• 10 m²

• 22.5 m²

Given polygons A and B are similar with corresponding dimensions shown, what is the missing dimension of polygon B?

• 4.1

• 16.7

• 3.3

• 11.1

The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths  is 10:7. What is the ratio of the areas? 

• 200: 494

• 100 : 28

• 832 : 48

• 100 : 49

If the ratio of perimeters of 2 triangles is 3:4, and the area of the smaller triangle is 324, what is the area of the larger triangle?

• 81

• 432

• 576

• 243

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller hexagon?

• 5 cm

• 1/6 cm

• 6 cm

• not enough info

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the perimeter of the smaller pentagon to the larger pentagon?

• 9:5

• 25:81

• 5:9

• 81:25

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller triangle?

• 23.8 mm

• 10.2 mm

• 6.67 mm

• 4.3 mm

The figures below are similar. The labeled sides are corresponding.

If the ratio of the squares' perimeters is 8:3, what is the value of x?

• 8 mm

• 4.5 mm

• 12 mm

• 36 mm

What are similar shapes?

• shapes that have the same shape, but not necessarily the same size

• a comparison of the sizes of the parts of the scale drawing to the actual sizes on the original object.

• sides that are in the same position in different plane figures

• sides that have different ratios

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6