Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What does it mean for angles in similar figures?

Back

All angles in similar figures are congruent (equal in measure).

Front

What is the AA criterion for similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Front

What is the SAS criterion for similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar (SAS criterion).

Front

What is the SSS criterion for similarity?

Back

If the lengths of the corresponding sides of two triangles are proportional, the triangles are similar (SSS criterion).

Front

How can you determine if two figures are similar?

Back

Check if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, so (2:3)² = 4:9.

Front

What does it mean if two triangles are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not equal.