4-10 Congruence Diagrams

Front

What is congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.

Tags

CCSS.8.G.A.2

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and a non-included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruence where two angles and the included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence where two sides and the included angle are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove congruence specifically for right triangles, where the hypotenuse and one leg are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, a condition that does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2

Front

What is the significance of AAA in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that triangles are similar but not necessarily congruent.

Tags

CCSS.HSG.CO.B.7

Front

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

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS).

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 may differ in size.

Tags

CCSS.8.G.A.2

Front

What is a congruence diagram?

Back

A congruence diagram visually represents the congruence of triangles, showing corresponding sides and angles.

Tags

CCSS.8.G.A.2