Triangle Congruence Theorems

Front

What are the three main triangle congruence theorems?

Back

SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and SSS (Side-Side-Side).

Tags

CCSS.HSG.SRT.B.5

Front

What does the SSA condition imply in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2

Front

What is the HL theorem in triangle congruence?

Back

HL (Hypotenuse-Leg) is a theorem that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS theorem state?

Back

The SAS theorem 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA postulate?

Back

The ASA postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS theorem?

Back

The SSS theorem states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

Not necessarily; SSA does not prove congruence.

Tags

CCSS.8.G.A.2

Front

What is the significance of the included angle in the SAS theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

ASA (Angle-Side-Angle) requires the side to be between the two angles, while AAS (Angle-Angle-Side) does not.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using AAS?

Back

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.

Tags

CCSS.HSG.SRT.B.5