Congruent Triangles Review

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles congruent by having two angles and the included side equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles congruent by having two angles and a non-included side equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles congruent by having two sides and the included angle equal.

Front

What is SSS in triangle congruence?

Back

Side-Side-Side; a method to prove triangles congruent by having all three sides equal.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

The lengths of all three sides must be known.

Front

How can you prove triangles are congruent if one angle and two sides are known?

Back

Use the SAS postulate.

Front

What is the significance of corresponding parts of congruent triangles?

Back

They are equal in measure, which helps in proving triangle congruence.

Front

If ∆ABC ≅ ∆DEF, what can be said about ∠A and ∠D?

Back

∠A ≅ ∠D; corresponding angles of congruent triangles are equal.