Similar Triangles & Proofs Practice

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Front

What is the AA criterion for similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What is the SSS criterion for similarity?

Back

The SSS (Side-Side-Side) criterion states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the SAS criterion for similarity?

Back

The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, the triangles are similar.

Front

What is the ASA criterion for similarity?

Back

The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are similar.

Front

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

Back

If two triangles are similar, their corresponding angles are congruent.

Front

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

Back

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

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that a quantity is equal to itself, which is often used in proofs.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What does it mean for sides to be proportional?

Back

Sides are proportional if the ratios of their lengths are equal.