Congruent Triangles (5.3, 5.5, 5.6) Flashcard

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

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

Can two triangles be congruent if they only share one angle?

Back

No, two triangles cannot be congruent if they only share one angle; they must meet one of the congruence criteria (ASA, AAS, SAS, or SSS).

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

What is the difference between SSA and other congruence criteria?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

How can you prove two triangles are congruent using AAS?

Back

To prove two triangles are congruent using AAS, show that two angles and a corresponding non-included side of one triangle are equal to the two angles and the corresponding non-included side of the other triangle.

Front

What is a common misconception about triangle congruence?

Back

A common misconception is that if two triangles look the same, they are congruent; however, congruence must be proven using specific criteria.