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

Are all corresponding angles in similar figures congruent?

Back

True

Front

Are two shapes that are similar also congruent?

Back

False

Front

What are corresponding sides?

Back

Sides that are in the same position in similar figures.

Front

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

Back

All corresponding angles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what can we say about their areas?

Back

The ratio of their areas will be 4:9 (the square of the ratio of their sides).

Front

What is the scale factor in similar figures?

Back

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

Front

If one triangle has sides of length 4, 6, and 8, and is similar to another triangle, what could be the lengths of the corresponding sides of the second triangle if the scale factor is 2?

Back

The corresponding sides could be 8, 12, and 16.

Front

How do you find a missing side in similar figures?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

If two similar rectangles have a length ratio of 1:4, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:4.