Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does AA≅ stand for in triangle congruence?

Back

AA≅ stands for Angle-Angle Congruence, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS≅ stand for in triangle congruence?

Back

AAS≅ stands for Angle-Angle-Side Congruence, which states that if two angles and the non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA≅ stand for in triangle congruence?

Back

ASA≅ stands for Angle-Side-Angle Congruence, which states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS≅ stand for in triangle congruence?

Back

SSS≅ stands for Side-Side-Side Congruence, which states that if all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS≅ stand for in triangle congruence?

Back

SAS≅ stands for Side-Angle-Side Congruence, which states that if two sides and the included angle of one triangle are equal to two sides and the corresponding included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL≅ stand for in triangle congruence?

Back

HL≅ stands for Hypotenuse-Leg Congruence, which applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to determine triangle congruence; at least two angles or one side must be known.

Tags

CCSS.8.G.A.2

Front

Is AAA≅ a valid method for proving triangle congruence?

Back

No, AAA≅ (Angle-Angle-Angle) does not prove triangle congruence because it only shows that triangles are similar, not necessarily congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the 'Not enough information' option in triangle congruence questions?

Back

The 'Not enough information' option indicates that the given data is insufficient to determine if the triangles are congruent, often due to missing sides or angles.

Tags

CCSS.8.G.A.2