Similar Triangles Proofs

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 AA criterion for similarity?

Back

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

Front

What is the SAS criterion for similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle, and the included angle is equal, then the triangles are similar (SAS ~).

Front

What is the SSS criterion for similarity?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar (SSS ~).

Front

What are corresponding angles?

Back

Angles that are in the same position in different triangles when the triangles are positioned similarly.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the significance of the Corresponding Angles Postulate?

Back

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

Front

How do you prove triangles are similar using the AA criterion?

Back

Show that two angles of one triangle are equal to two angles of another triangle.

Front

How do you prove triangles are similar using the SAS criterion?

Back

Show that two sides of one triangle are proportional to two sides of another triangle and the included angles are equal.