12/3 SAS AND SSS CONGRUENCE

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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 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

If ∆ABC ≅ ∆LMN, what can we conclude about the corresponding sides?

Back

The corresponding sides of the triangles are equal: AB ≅ LM, BC ≅ MN, AC ≅ LN.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent by SAS, what information do we have?

Back

We have two sides and the included angle of one triangle equal to two sides and the included angle of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between corresponding angles in congruent triangles?

Back

The corresponding angles in congruent triangles are equal.

Tags

CCSS.HSG.CO.B.7

Front

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

Back

By showing that all three sides of one triangle are equal to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The included angle is the angle formed between the two sides being compared; it must be equal for the triangles to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∠E ≅ ∠A, what can we say about triangles that include these angles?

Back

If the triangles also have the corresponding sides equal, then the triangles are congruent.

Tags

CCSS.HSG.CO.B.7

Front

What does it mean if two triangles are not congruent?

Back

It means that the triangles do not have the same size and shape; their corresponding sides and angles are not equal.

Tags

CCSS.8.G.A.2

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion 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