Triangle Congruence

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself. In triangle congruence, this means that a triangle is always congruent to itself.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Definition of an Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

What is the first statement in the reason column of a proof?

Back

The first statement is typically 'Given', which refers to the information provided in the problem.

Front

How can you determine if two triangles are congruent?

Back

Two triangles are congruent if they satisfy one of the congruence criteria: SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means that if three sides of one triangle are equal to three sides of another triangle, 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, which means that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, 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, which means that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, 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, which means that 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a criterion used to prove the congruence of right triangles.

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 conclude that two triangles are identical in shape and size, which is essential in solving geometric problems.

Tags

CCSS.8.G.A.2