Triangle Congruence Theorems

Front

What does the HL theorem stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS theorem in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the AAS theorem state?

Back

AAS stands for Angle-Angle-Side theorem, 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Explain the ASA theorem in triangle congruence.

Back

ASA stands for Angle-Side-Angle theorem, 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS theorem in triangle congruence?

Back

SAS stands for Side-Angle-Side theorem, 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

To determine if two triangles are congruent using the HL theorem, check if both triangles are right triangles and if their hypotenuses and one leg are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the SSS theorem in proving triangle congruence?

Back

The SSS theorem is significant because it provides a method to prove triangle congruence based solely on the lengths of the sides, without needing to know the angles.

Tags

CCSS.HSG.SRT.B.5

Front

Describe the conditions required for the AAS theorem to apply.

Back

For the AAS theorem to apply, you need to know two angles and a non-included side of one triangle and their corresponding parts in another triangle.

Front

What is the relationship between the ASA and AAS theorems?

Back

Both ASA and AAS theorems can be used to prove triangle congruence, but ASA requires the included side while AAS uses a non-included side.

Tags

CCSS.HSG.SRT.B.5

Front

How does the SAS theorem differ from the SSS theorem?

Back

The SAS theorem requires two sides and the included angle to be equal, while the SSS theorem requires all three sides to be equal.

Tags

CCSS.HSG.SRT.B.5