Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence theorems?

Back

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

Front

What does SAS stand for in triangle congruence theorems?

Back

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

Front

What does ASA stand for in triangle congruence theorems?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side 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 four main triangle congruence theorems?

Back

The four main triangle congruence theorems are SSS, SAS, ASA, and AAS.

Front

What is the difference between ASA and AAS?

Back

ASA requires two angles and the included side to be equal, while AAS requires two angles and a non-included side to be equal.

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

In which scenario would you use the SAS theorem?

Back

You would use the SAS theorem when you know two sides and the included angle of one triangle and want to prove it is congruent to another triangle with the same measurements.

Front

What is the role of angles in triangle congruence?

Back

Angles play a crucial role in triangle congruence as they help establish relationships between triangles, allowing for the application of theorems like ASA and AAS.