Triangle Congruence Criteria (Mastery Flashcard)

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the AAS triangle congruence theorem?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

Define SSS in the context of triangle congruence.

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence as it can lead to ambiguous cases.

Front

If ∆ABC≅∆XYZ, what can be concluded about the sides AB and XY?

Back

AB≅XY, meaning side AB of triangle ABC is congruent to side XY of triangle XYZ.

Front

What is the significance of congruent angles in triangle congruence?

Back

Congruent angles help establish relationships between triangles, allowing the use of congruence criteria like AAS and ASA.

Front

How can you prove triangles are congruent using the SAS criterion?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are congruent, meaning if two triangles are proven congruent, all their corresponding sides and angles are also congruent.

Front

Explain the concept of congruence in geometry.

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.