Congruent Triangles (5.3, 5.5, 5.6) Flashcard

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 AAS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a method to prove right triangles are congruent if the hypotenuse and one leg are equal.

Front

Can two triangles be congruent if only two sides are equal?

Back

Not necessarily; this is known as the SSA condition, which does not guarantee congruence.

Front

What is the significance of congruency statements?

Back

They indicate that two triangles are congruent and show the correspondence of their vertices.

Front

How do you write a congruency statement for triangles?

Back

If triangle ABC is congruent to triangle DEF, it is written as ΔABC ≅ ΔDEF.

Front

What is the difference between AAS and ASA?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

What is the purpose of triangle congruence proofs?

Back

To demonstrate that two triangles are congruent using logical reasoning and established criteria.