Similar Figures

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 their corresponding sides are in proportion.

Front

What does it mean for two figures to be in proportion?

Back

Two figures are in proportion when the ratios of their corresponding sides are equal.

Front

If two triangles are similar, what can we say about their angles?

Back

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

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length in similar figures, set up a proportion using the lengths of the corresponding sides.

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

If the scale factor of two similar triangles is 2:3, what does this mean?

Back

This means that for every 2 units of length in the first triangle, there are 3 units of length in the second triangle.

Front

Solve for x: If triangle A has a side of 6 and triangle B has a corresponding side of x, and they are similar with a scale factor of 2:3, what is x?

Back

x = 9 (because 6 * (3/2) = 9).

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 side lengths.

Front

If the side lengths of two similar rectangles are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16 (because 1^2:4^2 = 1:16).

Front

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

Back

Set up a proportion by equating the ratios of the corresponding sides of the two figures.