Geo 5.2 AAS, SAS, SSS, ASA

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangles are congruent.

Front

What is the ASA congruence theorem?

Back

ASA stands for Angle-Side-Angle, which states that 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 SSS stand for in triangle congruence?

Back

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

Front

What is the significance of the SSA condition in triangle congruence?

Back

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

Front

How can you determine if two triangles are congruent using AAS?

Back

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, the triangles are congruent by AAS.

Front

What is the congruence statement for triangles?

Back

A congruence statement indicates that two triangles are congruent and lists the corresponding vertices in order.

Front

What does the term 'congruent' mean in geometry?

Back

Congruent means that two figures have the same shape and size, and can be made to coincide by rigid transformations.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

No, knowing only one angle and two sides (SSA) does not guarantee triangle congruence due to the possibility of different triangle configurations.