Congruent Triangles (with HL)

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 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 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 SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for proving triangle congruence.

Front

Are triangles with AAA congruent?

Back

No, AAA (Angle-Angle-Angle) does not guarantee triangle congruence as it does not provide information about the size of the triangles.

Front

What is a congruence statement?

Back

A congruence statement expresses that two triangles are congruent, typically written as ΔABC ≅ ΔDEF.

Front

If ΔXYZ ≅ ΔZXY, what can be inferred?

Back

The triangles are congruent; they are the same shape and size, just labeled differently.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side is insufficient to prove congruence; additional information about angles or other sides is needed.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same shape and size, meaning all corresponding sides and angles are equal.