Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence theorems?

Back

ASA stands for Angle-Side-Angle, which is 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 theorems?

Back

HL stands for Hypotenuse-Leg, which is a theorem that applies to right triangles. It 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence theorems?

Back

SSS stands for Side-Side-Side, which is a theorem that states 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

What does SAS stand for in triangle congruence theorems?

Back

SAS stands for Side-Angle-Side, which is 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 AAS stand for in triangle congruence theorems?

Back

AAS stands for Angle-Angle-Side, which is a theorem that states 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

Front

What is the significance of triangle congruence theorems in geometry?

Back

Triangle congruence theorems are significant because they provide criteria to determine if two triangles are congruent, which is essential for solving various geometric problems and proofs.

Tags

CCSS.8.G.A.2

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal. At least two sides and the included angle or specific combinations of angles and sides must be equal for congruence.

Tags

CCSS.8.G.A.2

Front

What is the difference between AAS and ASA?

Back

AAS (Angle-Angle-Side) involves two angles and a non-included side, while ASA (Angle-Side-Angle) involves two angles and the included side. Both can be used to prove triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using the SSS theorem, you must show that all three sides of one triangle are equal to the corresponding three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is a right triangle and how does it relate to the HL theorem?

Back

A right triangle is a triangle with one angle measuring 90 degrees. The HL theorem specifically applies to right triangles, stating that if the hypotenuse and one leg are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5