Triangle Congruence

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 the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

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 is the criterion for triangle congruence if two angles and the included side are equal?

Back

The criterion is ASA (Angle-Side-Angle).

Tags

CCSS.HSG.SRT.B.5

Front

If ∆JIK ≅ ∆TSR, what does this mean?

Back

It means that triangle JIK is congruent to triangle TSR, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

Are triangles congruent if they have two sides and a non-included angle equal?

Back

No, this is the SSA (Side-Side-Angle) case, which does not guarantee congruence.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent?

Back

Yes, if both triangles have the same side lengths, they are congruent by SSS.

Tags

CCSS.8.G.A.2

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared; it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5