Similar Figures Area and Perimeter

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

The figures are similar. What is the ratio of their perimeters?

• 18/24

• 3/4

• 1/2

• 36/24

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 area of the larger square?

• 25 m²

• 1.25 m²

• 20 m²

• 16 m²

The figures shown are similar. The areas of each figure is given.

What is the ratio of the side length of the smaller triangle to the larger triangle?

• 4:49

• 2:7

• 1:7

• 1:25

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

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

• 9:5

• 25:81

• 5:9

• 81:25

Find the area of polygon B given similar polygons and the scale factor shown.

• 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

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