Unit 5 -- both reviews combined

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What additional information is needed to show triangles are congruent by AAS?

Back

You need to know two angles and one side of one triangle are equal to the corresponding angles and side of another triangle.

Front

What is the difference between SAS and SSA in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while SSA (Side-Side-Angle) does not guarantee congruence.

Front

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

Back

We can conclude that AB≅XY, meaning they are equal in length.

Front

Can two triangles be congruent if they are only similar?

Back

No, similar triangles have the same shape but not necessarily the same size; congruent triangles must be both the same shape and size.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What is the significance of the AAA criterion in triangle congruence?

Back

AAA (Angle-Angle-Angle) indicates that triangles are similar but does not prove they are congruent.

Front

What is the conclusion if two triangles are shown to be congruent by AAS?

Back

If two triangles are congruent by AAS, all corresponding sides and angles are equal.

Front

What does the term 'non-included side' refer to in triangle congruence?

Back

The non-included side is the side that is not between the two angles being considered in AAS or ASA.