Coach E's ASA and AAS

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 congruent 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 congruent to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

To determine if two triangles are congruent using the ASA criterion, check if two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using the AAS criterion, check if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent using the ASA criterion?

Back

You need to know that the included side between the two angles is congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included side in ASA and AAS?

Back

The included side is the side that is between the two angles in ASA and connects the two angles in AAS, and it must be congruent for the triangles to be considered congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of congruent angles, what can be concluded?

Back

If two triangles have two pairs of congruent angles, the third angles must also be congruent, and the triangles are congruent by the AAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are proportional.

Tags

CCSS.8.G.A.2

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that at least one pair of corresponding sides or angles is not equal.

Tags

CCSS.8.G.A.2