Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence theorems?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side 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, a postulate that states if two angles and a non-included side of one triangle are congruent 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 does SSS stand for in triangle congruence theorems?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent 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, a postulate that states if two sides and the included angle of one triangle are congruent 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 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 you name the four main triangle congruence theorems?

Back

The four main triangle congruence theorems are: 1) ASA (Angle-Side-Angle), 2) AAS (Angle-Angle-Side), 3) SSS (Side-Side-Side), and 4) SAS (Side-Angle-Side).

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using the SAS theorem?

Back

To prove two triangles are congruent using the SAS theorem, you must show that two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between AAS and ASA?

Back

The difference between AAS and ASA is that AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Tags

CCSS.HSG.SRT.B.5

Front

In what scenarios can the triangle congruence theorems be applied?

Back

Triangle congruence theorems can be applied in scenarios involving geometric proofs, solving for unknown lengths or angles, and in real-world applications such as architecture and engineering.

Tags

CCSS.8.G.A.2