Practice Triangle Congruence

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which cannot be used to prove triangles congruent.

Front

What is the SAS congruence theorem?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS congruence theorem?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a theorem used to prove the congruence of right triangles.

Front

What is the AAS congruence theorem?

Back

AAS stands for Angle-Angle-Side, which states that 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 is the significance of SSA in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

Front

What additional information is needed for SSS congruence?

Back

For SSS congruence, the lengths of all three sides of both triangles must be known.

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

Can two triangles be proven congruent with only two angles?

Back

No, two triangles cannot be proven congruent with only two angles; this is known as the AAA theorem, which does not prove congruence.

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.