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 solving proportions?

Back

The formula for solving proportions is a/b = c/d, where a, b, c, and d are the lengths of the sides.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If the scale factor of two similar rectangles is 3:5, and the shorter side of the smaller rectangle is 6 cm, what is the length of the corresponding side in the larger rectangle?

Back

The length of the corresponding side in the larger rectangle is 10 cm.

Front

How can you determine if two figures are similar?

Back

Two figures can be determined to be similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

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.