Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the property of angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

What is the ratio of corresponding sides in similar triangles?

Back

The ratio of corresponding sides is constant and equal to the ratio of any two corresponding sides.

Front

What are corresponding angles?

Back

Angles that are in the same relative position in similar figures.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths 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, 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 these angles are in proportion, the triangles are similar.

Front

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

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 6 (using the ratio of sides, DF/AC = DE/AB => DF/6 = 8/4 => DF = 6).