Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

Their corresponding angles are congruent.

Front

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

Back

Their corresponding sides are in proportion.

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

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

Back

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

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How can you determine if two triangles are similar using their angle measures?

Back

If the sum of the angles in both triangles equals 180 degrees and the angles are equal, the triangles are similar.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

What is an example of similar triangles in real life?

Back

The shadows of two objects at the same time of day can form similar triangles.

Front

If triangle ABC is similar to triangle DEF, what can be said about the lengths of their sides?

Back

The lengths of sides AB, BC, and CA are proportional to the lengths of sides DE, EF, and FD respectively.