Triangle congruence proofs

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a geometric figure is congruent to itself, which is often used to show that a side or angle is shared between two triangles.

Tags

CCSS.HSG.SRT.B.5

Front

Back

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can be used as a reason to establish congruence between triangles that share a vertex.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the SSA condition?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have equal areas because they are identical in shape and size.

Tags

CCSS.8.G.A.2