solving proportions/similar figures

Front

The term 'corresponding' means ...

Back

matching

Front

For the pair of similar figures, find the length of each side marked with a variable: If one side is 3 in and the corresponding side is marked as x, and the scale factor is 1:2, what is x?

Back

x = 6 in

Front

CHALLENGE! Solve for x: 2/3 = x/12. What is x?

Back

x = 8

Front

The _________ tells us how many times larger or smaller a figure is from the original.

Back

Scale factor

Front

If two figures are similar and the lengths of their corresponding sides are in the ratio 3:5, what is the scale factor from the smaller figure to the larger figure?

Back

5/3

Front

If a triangle has sides of lengths 6, 8, and 10, and a similar triangle has a side of length 12, what is the length of the corresponding side?

Back

Length = 16 (using scale factor 2)

Front

If the scale factor of two similar figures is 4:1, and the area of the smaller figure is 9 square units, what is the area of the larger figure?

Back

Area = 36 square units (scale factor squared)

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale Factor = Length of Side in Larger Figure / Length of Corresponding Side in Smaller Figure

Front

If two similar rectangles have lengths of 10 cm and 15 cm, what is the ratio of their widths if the width of the smaller rectangle is 6 cm?

Back

Width of larger rectangle = 9 cm (using scale factor 1.5)

Front

If a pair of similar figures has a scale factor of 1:3, and the perimeter of the smaller figure is 12 cm, what is the perimeter of the larger figure?

Back

Perimeter = 36 cm