Similar Triangles - Angles

Front

What are similar triangles?

Back

Triangles 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 is the Angle-Angle (AA) similarity criterion?

Back

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

Front

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

Back

All pairs of corresponding angles are congruent.

Front

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

Back

The ratios of the lengths of corresponding sides are equal.

Front

What does it mean for angles to be congruent?

Back

Angles that have the same measure.

Front

Can two triangles be similar if only one pair of angles is equal?

Back

No, at least two pairs of angles must be equal for the triangles to be similar.

Front

What is the relationship between similar triangles and scale factors?

Back

The lengths of corresponding sides of similar triangles are proportional to a common scale factor.

Front

What is the definition of proportional sides?

Back

Sides that have the same ratio or fraction when compared to each other.

Front

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

Back

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

Front

What is the significance of the Side-Angle-Side (SAS) similarity criterion?

Back

If an angle of one triangle is equal to an angle of another triangle and the sides including those angles are proportional, then the triangles are similar.