Triangle Congruency Theorems Flashcard

Front

What is the HL Congruence Theorem?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right-angled triangle are congruent to the hypotenuse and one leg of another right-angled triangle, then the two triangles are congruent.

Front

What does the SAS Congruence Theorem state?

Back

The SAS Congruence Theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.

Front

What is the ASA Congruence Theorem?

Back

The ASA Congruence Theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.

Front

Define the AAS Congruence Theorem.

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.

Front

What is the SSS Congruence Theorem?

Back

The SSS Congruence Theorem states that if three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be congruent, while AAS allows for a non-included side to be congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Yes, if the included angle is also known, then the triangles can be proven congruent using the SAS theorem.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is crucial in the SAS and ASA theorems, as it helps establish congruence between triangles.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence.

Front

What is a right-angled triangle?

Back

A right-angled triangle is a triangle that has one angle measuring 90 degrees.