Practice: ASA and AAS

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and a non-included side are equal.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

Can triangles be congruent if only the angles are known?

Back

No, triangles cannot be proven congruent solely by knowing the angles (AAA); they must have at least one side length known.

Front

If ΔDEC ≅ ΔBEA, what can be inferred about their corresponding parts?

Back

The corresponding parts of congruent triangles are equal, meaning the angles and sides of ΔDEC are equal to those of ΔBEA.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS requires a non-included side to be equal along with two angles.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate which parts of triangles are equal, helping to establish relationships between the triangles.

Front

What is the conclusion if two triangles have two angles and a non-included side equal?

Back

The triangles are congruent by the AAS postulate.

Front

What is the conclusion if two triangles have two angles and the included side equal?

Back

The triangles are congruent by the ASA postulate.