Geometry Unit 05 Flashcard Review

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 SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. Two triangles can have two sides and a non-included angle equal but may not be 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

How can you determine if two triangles are congruent using the SAS rule?

Back

The SAS rule states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the triangles are congruent.

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. It is crucial in rules like SAS and ASA for establishing congruence.

Front

What is the difference between AAS and ASA?

Back

Both AAS and ASA are methods to prove triangle congruence, but AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

Can two triangles be congruent if they only have two sides equal?

Back

Not necessarily. If only two sides are equal without the included angle being equal, the triangles may not be congruent (SSA case).

Front

What is the relationship between corresponding parts of congruent triangles?

Back

In congruent triangles, all corresponding sides and angles are equal.

Front

How do you denote congruence between two segments?

Back

Congruence between two segments is denoted using the symbol '≅'. For example, if segment AB is congruent to segment CD, it is written as AB ≅ CD.