Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule 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 by SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

If two triangles are congruent by ASA, what can be said about their corresponding sides?

Back

If two triangles are congruent by ASA, their corresponding sides are also equal in length.

Front

What is the significance of the included angle in the ASA rule?

Back

The included angle in the ASA rule is the angle formed between the two sides being considered, which is crucial for establishing congruence.

Front

Provide an example of a scenario where triangles are congruent by SSS.

Back

If Triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and Triangle DEF also has sides of lengths 5 cm, 7 cm, and 9 cm, then Triangle ABC is congruent to Triangle DEF by SSS.

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.