Triangle Similarity Theorems Practice

Front

What does the AA~ postulate state about triangle similarity?

Back

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

Front

What does the SAS~ postulate state about triangle similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What does the SSS~ postulate state about triangle similarity?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the Reflexive Property in geometry?

Back

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

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

Front

What is the Corresponding Angle Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the Embedded Triangles Property?

Back

The Embedded Triangles Property states that if a triangle is inside another triangle, the angles of the inner triangle correspond to the angles of the outer triangle.

Front

What is the significance of the similarity ratio in similar triangles?

Back

The similarity ratio is the ratio of the lengths of corresponding sides of similar triangles, which is constant for all corresponding sides.

Front

How do you prove that triangles are not similar?

Back

If none of the similarity criteria (AA~, SAS~, SSS~) can be satisfied, then the triangles are not similar.