Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may have different sizes.

Front

What does it mean for two figures to be proportional?

Back

Their corresponding side lengths are in the same ratio.

Front

What is the symbol for similarity?

Back

~ (tilde) is used to denote that two figures are similar.

Front

What does 'congruent' mean?

Back

Congruent means that two figures are identical in shape and size.

Front

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

Back

All corresponding angles are congruent.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 6 cm and DE is 9 cm, what is the scale factor?

Back

The scale factor is 3:2.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If the side lengths of two similar triangles are in the ratio 4:5, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 4:5.

Front

What does it mean if two figures are 'not similar'?

Back

They do not have the same shape or their corresponding side lengths are not in proportion.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.