Triangle congruence Shortcuts Practice

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 equal 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 equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be determined to be congruent with only two sides known unless the included angle is also known (SAS). Otherwise, it may lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

What is the significance of the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to two different triangles (ambiguous case) or no triangle at all.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent. Congruence requires equal sides and angles, while similarity only requires equal angles.

Tags

CCSS.8.G.A.2

Front

What is the purpose of triangle congruence shortcuts?

Back

Triangle congruence shortcuts help quickly determine if two triangles are congruent without needing to measure all sides and angles.

Tags

CCSS.HSG.SRT.B.5