Congruent Triangles

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 congruent 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 congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

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.

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the SSA condition?

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

What information is needed to use the SAS postulate?

Back

To use the SAS postulate, you need two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle.

Front

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

Back

To determine if two triangles are congruent using the AAS postulate, you need two angles and a non-included side of one triangle to be congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the significance of congruent triangles in geometry?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if all corresponding sides and angles are equal.

Front

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

Back

No, knowing only one side is not sufficient to determine triangle congruence; additional information about angles or other sides is needed.