Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence theorems?

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.

Front

What does AAS stand for in triangle congruence theorems?

Back

AAS stands for Angle-Angle-Side, 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.

Front

What does SSS stand for in triangle congruence theorems?

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.

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.

Front

Can you name the triangle congruence theorem that requires two angles and the included side?

Back

The triangle congruence theorem that requires two angles and the included side is called ASA (Angle-Side-Angle).

Front

Can you name the triangle congruence theorem that requires two angles and a non-included side?

Back

The triangle congruence theorem that requires two angles and a non-included side is called AAS (Angle-Angle-Side).

Front

What is the relationship between the sides and angles in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length, and corresponding angles are equal in measure.

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 three sides of another triangle.

Front

What is the difference between ASA and AAS?

Back

The difference between ASA and AAS is that ASA requires the included side between the two angles to be equal, while AAS does not require the side to be included between the two angles.

Front

What is the criteria for using the SAA theorem?

Back

The SAA theorem is a variation of AAS and 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 triangles are congruent.