Similar Figures and Proportions Review

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.

Front

How do you find the missing side of similar figures?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures and solve for the unknown.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

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

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

Solve for x: If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, and BC = x, EF = 16, what is x?

Back

x = 8 (since the scale factor is 2:1).

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.

Front

If the scale factor of two similar rectangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25 (since 3^2:5^2 = 9:25).

Front

How do you set up a proportion to solve for a missing length in similar figures?

Back

Front

If two similar figures have a scale factor of 1:4, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:4.