Triangle Congruence Practice

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid triangle congruence theorem. It does not guarantee that two triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Front

What is the significance of angle bisectors in triangle congruence?

Back

Angle bisectors can help establish congruence by creating two angles that are equal, which can be used in conjunction with other congruence theorems.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, verify that two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of the other triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be congruent, while AAS allows for a non-included side to be congruent along with the two angles.

Front

What is the criteria for using SSS to prove triangle congruence?

Back

The criteria for using SSS is that all three sides of one triangle must be congruent to all three sides of another triangle.

Front

Can SSA be used to prove triangle congruence? Why or why not?

Back

No, SSA cannot be used to prove triangle congruence because it does not guarantee that the triangles are congruent; it can lead to ambiguous cases.

Front

What is the relationship between angle bisectors and congruent angles?

Back

If a segment bisects an angle, it divides the angle into two equal angles, which can be used to establish congruence in triangles.