Similar and Congruent Triangles Review

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

What are congruent triangles?

Back

Triangles that are identical in shape and size. Their corresponding sides and angles are equal.

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 do you determine the range of possible measures for the third side of a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side. For sides of lengths a and b, the third side c must satisfy: |a - b| < c < a + b.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the Exterior Angle Theorem?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Front

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

Back

The lengths of their corresponding sides are proportional.