4-10 Congruence Diagrams

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles congruent by showing two angles and the non-included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles congruent by showing two angles and the included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles congruent by showing two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSA stand for in triangle congruence?

Back

Side-Side-Angle; this method does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2

Front

What does AAA stand for in triangle congruence?

Back

Angle-Angle-Angle; this method does not prove congruence, only similarity.

Tags

CCSS.8.G.A.2

Front

What is the HL theorem in triangle congruence?

Back

Hypotenuse-Leg; a method to prove right triangles congruent by showing the hypotenuse and one leg are equal.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be proven congruent if only two angles are known?

Back

No, two angles alone do not guarantee congruence; they only ensure similarity.

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, which is crucial for proving congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2