Triangle Congruency

Front

What does AAS stand for in triangle congruency?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruency?

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.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruency?

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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruency?

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruency?

Back

Triangle congruency means that two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and the non-included side must be equal.

Tags

CCSS.8.G.A.2

Front

What is the Not Possible option in triangle congruency?

Back

The Not Possible option indicates that there is insufficient information or that the given conditions do not satisfy any of the congruency postulates.

Tags

CCSS.8.G.A.2

Front

If two triangles have two angles equal, what can be said about their sides?

Back

If two triangles have two angles equal, the third angle must also be equal, and the triangles are congruent by the AAS postulate.

Tags

CCSS.HSG.CO.B.7

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

Tags

CCSS.8.G.A.2

Front

How can you prove that two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5