SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then 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 postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then 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 postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then 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 theorem that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Which postulate cannot be used to prove triangles congruent?

Back

SSA (Side-Side-Angle) cannot be used to prove triangles congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the congruence statement for triangles ΔABC and ΔDEF if AB = DE, AC = DF, and ∠A = ∠D?

Back

ΔABC ≅ ΔDEF by SAS.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are congruent by AAS.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the sides and angles in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length and corresponding angles are equal in measure.

Tags

CCSS.HSG.CO.B.7

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

AB = DE, AC = DF, BC = EF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5