Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating 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, a criterion for triangle congruence stating 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, a criterion for triangle congruence stating 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, a criterion for triangle congruence stating 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 is the significance of congruence statements?

Back

Congruence statements indicate that two triangles are congruent and specify the corresponding vertices, helping to understand the relationship between the triangles.

Tags

CCSS.HSG.CO.B.7

Front

If ∆ABC ≅ ∆DEF, what can be inferred about their corresponding parts?

Back

If ∆ABC ≅ ∆DEF, then AB = DE, AC = DF, BC = EF, ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent angles?

Back

Congruent angles are angles that have the same measure. If two angles are congruent, they can be marked with the same number of arc marks.

Tags

CCSS.8.G.A.2

Front

How can you prove triangles are congruent using the SSS criterion?

Back

To prove triangles are congruent using SSS, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using the SAS criterion?

Back

To prove triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the included angle are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5