Triangle Congruence 2

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 the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Not Possible condition in triangle congruence?

Back

The Not Possible condition indicates that there is insufficient information to prove that two triangles are congruent using the available postulates.

Front

When can we use the SSS postulate?

Back

We can use the SSS postulate when we know the lengths of all three sides of two triangles and can show they are equal.

Front

When can we use the SAS postulate?

Back

We can use the SAS postulate when we know the lengths of two sides and the measure of the included angle of two triangles and can show they are equal.

Front

When can we use the ASA postulate?

Back

We can use the ASA postulate when we know the measures of two angles and the length of the included side of two triangles and can show they are equal.

Front

When can we use the AAS postulate?

Back

We can use the AAS postulate when we know the measures of two angles and the length of a non-included side of two triangles and can show they are equal.

Front

What is the significance of triangle congruence?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry.