Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency 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 SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruency where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruency 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 AAA stand for in triangle congruency?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Tags

CCSS.HSG.CO.B.7

Front

What does SSA stand for in triangle congruency?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruency as it can lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

If ΔABC ≅ ΔDEF, what can be inferred about their corresponding sides and angles?

Back

If ΔABC ≅ ΔDEF, then the corresponding sides AB = DE, BC = EF, AC = DF and the corresponding angles ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Tags

CCSS.8.G.A.2

Front

What is the significance of the congruence statement ΔFGH ≅ ΔVWH?

Back

The congruence statement ΔFGH ≅ ΔVWH indicates that triangles FGH and VWH are congruent, meaning all corresponding sides and angles are equal.

Tags

CCSS.HSG.CO.B.7

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in size and shape, while similarity means that two triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What is the purpose of using congruence statements in geometry?

Back

Congruence statements are used to clearly express the relationship between two congruent figures, indicating which parts correspond to each other.

Tags

CCSS.HSG.SRT.B.5