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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then 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, a theorem 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then 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, a theorem 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 SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. Two triangles can have two sides and a non-included angle equal but may not be congruent.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using the SSS theorem?

Back

To determine if two triangles are congruent using the SSS theorem, measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the SAS theorem?

Back

To determine if two triangles are congruent using the SAS theorem, measure two sides and the included angle of both triangles. If the two sides and the included angle are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of congruence in triangles?

Back

Congruence in triangles is important because it allows us to make conclusions about the properties of triangles, such as their angles and sides, which can be used in various applications in geometry.

Tags

CCSS.8.G.A.2

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent, typically written in the form of triangle names, such as triangle ABC ≅ triangle DEF.

Tags

CCSS.HSG.CO.B.7