Triangle congruency flashcard practice

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

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

Front

If ∆ABC≅∆XYZ, what can we conclude about sides AB and XY?

Back

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

Front

Are triangles with two sides and a non-included angle congruent?

Back

No, this is the SSA condition, which does not guarantee triangle congruence.

Front

If two angles and a side are known, which theorem can be used to prove triangle congruence?

Back

You can use the ASA or AAS theorem to prove triangle congruence.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS theorem.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have equal corresponding sides and angles.