HW 4.5

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 postulate that states if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

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 triangles be considered congruent by SSS?

Back

Triangles can be considered congruent by SSS when all three sides of one triangle are equal to the three sides of another triangle.

Front

When can triangles be considered congruent by SAS?

Back

Triangles can be considered congruent by SAS when two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

When can triangles be considered congruent by ASA?

Back

Triangles can be considered congruent by ASA when two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.

Front

When can triangles be considered congruent by AAS?

Back

Triangles can be considered congruent by AAS when two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle.

Front

What is the significance of the 'Not Possible' option in triangle congruence?

Back

The 'Not Possible' option indicates that there is insufficient information to determine if the triangles are congruent using the given postulates.