Triangle Congruence Practice

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states 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 does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the NEI theorem in triangle congruence?

Back

NEI stands for No Evidence of Inclusion, indicating that the given information does not provide enough evidence to prove triangle congruence.

Tags

CCSS.HSG.CO.B.7

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) cannot be used to prove triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles means that the triangles are identical in shape and size, allowing for the use of one triangle's properties to infer properties of another.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, check if two angles and the non-included side of one triangle are equal to the corresponding two angles and the non-included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between SSS and triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5