Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size.

Front

What is the criterion for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the ratios of their corresponding sides are proportional.

Front

What are corresponding angles?

Back

Angles that are in the same position in two different figures.

Front

What are corresponding sides?

Back

Sides that are in the same relative position in two similar figures.

Front

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

Back

The ratios of their corresponding sides are equal.

Front

If two triangles have one angle equal and the sides including that angle are proportional, are they similar?

Back

Yes, they are similar by the Angle-Side-Angle (ASA) similarity criterion.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are the same shape and size.

Front

Can two figures be similar but not congruent?

Back

Yes, similar figures can have the same shape but different sizes.

Front

What is the relationship between the angles of similar figures?

Back

All corresponding angles of similar figures are equal.

Front

How can you determine if two triangles are similar using side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.