Triangle Congruence

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 congruent 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 is the ASA triangle congruence theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence theorems.

Tags

CCSS.8.G.A.2

Front

Can two triangles be congruent if only one angle is known?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the significance of the 'included side' in triangle congruence theorems?

Back

The included side is the side that lies between two angles in a triangle; it is crucial for the SAS and ASA theorems to establish congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What triangle congruence theorem can be used if two sides and a non-included angle are known?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence, as it can lead to ambiguous cases.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What is the criteria for proving triangles are congruent using the SSS theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Corresponding parts refer to the angles and sides of triangles that are matched up when proving congruence.

Tags

CCSS.8.G.A.2