Triangle Congruence Shortcuts

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruence?

Back

Triangle congruence 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

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures, such as triangles, are congruent.

Tags

CCSS.8.G.A.2

Front

Can you determine triangle congruence with only one side and one angle?

Back

No, you cannot determine triangle congruence with only one side and one angle; you need additional information, such as another side or angle.

Tags

CCSS.8.G.A.2

Front

What is the criteria for triangle congruence using SSS?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using AAS?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean if two triangles cannot be determined as congruent?

Back

If two triangles cannot be determined as congruent, it means there is insufficient information to conclude that they are identical in shape and size.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning that if two triangles are congruent, all their corresponding sides and angles are also congruent.

Tags

CCSS.8.G.A.2

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it is the angle formed between the two sides being compared, and it must be congruent for the triangles to be congruent.

Tags

CCSS.HSG.SRT.B.5