Congruent Triangles Practice

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate 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.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate 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?

Back

AAS stands for Angle-Angle-Side, a postulate 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?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid postulate for proving triangle congruence because it can lead to ambiguous cases.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using SAS, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

To determine if two triangles are congruent using ASA, check if two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Front

What is the difference between ASA and AAS?

Back

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

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same shape and size, which allows for the application of various geometric principles and theorems.

Front

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

Back

No, knowing only one side is not sufficient to prove congruence; at least two sides and the included angle or two angles and a side must be known.