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 congruent, and their corresponding side lengths are proportional.

Front

What does it mean for angles in similar figures?

Back

All angles in similar figures are congruent, meaning they have the same measure.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if they have the same shape and their corresponding side lengths are proportional.

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

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

Back

You can use proportions to find a missing side length by setting up a ratio of corresponding sides.

Front

If Lance the alien is 5 feet tall and his shadow is 8 feet long, what is the height of a tree with a shadow of 32 feet?

Back

The height of the tree is 20 feet.

Front

What is the value of x if two similar triangles have side lengths in the ratio 3:4 and one side of the smaller triangle is 18?

Back

x = 24 (using the proportion 3/4 = 18/x).

Front

What is the scale factor between two similar figures?

Back

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

Front

If two figures are not similar, what can be said about their angles and sides?

Back

If two figures are not similar, their corresponding angles are not congruent, and their corresponding sides are not in proportion.