Geometry Chapter 4 review A

Front

What does SSS stand for in triangle congruence?

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 does SAS stand for in triangle congruence?

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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases.

Front

What is the AAS condition 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 equal to two angles and a non-included side of another triangle, then the triangles are congruent.

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 have two sides of equal length and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS postulate.

Front

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

Back

The triangles are congruent by the SSS postulate.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle, and it is crucial for determining congruence using the SAS postulate.

Front

Can two triangles be congruent if only two angles are known?

Back

Yes, if two angles are known, the third angle can be determined, and the triangles can be proven congruent by the ASA or AAS postulates.