Triangle Congruence SSS, SAS, ASA, AAS, HL

Front

What does SSS stand for in triangle congruence?

Back

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

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 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 HL stand for in triangle congruence?

Back

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

Front

What is the significance of the congruence statement OEG?

Back

The congruence statement OEG indicates that triangle O is congruent to triangle E, which is congruent to triangle G, showing the relationship between the triangles.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

When can you say there is 'Not Enough Information' to prove triangle congruence?

Back

You can say there is 'Not Enough Information' when the given data does not meet the criteria of any of the congruence postulates or theorems.

Front

What is the purpose of triangle congruence postulates?

Back

The purpose of triangle congruence postulates is to provide criteria that can be used to determine whether two triangles are congruent based on their sides and angles.

Front

How can you prove two triangles are congruent using the SSS postulate?

Back

To prove two triangles are congruent using the SSS postulate, you must show that all three sides of one triangle are equal to the three sides of the other triangle.