Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule that states if all three sides of one triangle are equal to all 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 rule 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

Can triangles be congruent by SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases.

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

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

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 proofs?

Back

Triangle congruence proofs are used to demonstrate that two triangles are congruent using specific rules and properties, which helps in solving geometric problems.

Tags

CCSS.HSG.SRT.B.5

Front

What is the reflexive property in triangle congruence?

Back

The reflexive property states that any geometric figure is congruent to itself, which is often used in proofs.

Tags

CCSS.HSG.SRT.B.5