ASA and AAS Postulates

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 congruent 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 postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for two triangles to be congruent using ASA?

Back

Two triangles are congruent using ASA if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for two triangles to be congruent using AAS?

Back

Two triangles are congruent using AAS if two angles and a side that is not between them in one triangle are equal to two angles and the corresponding side in another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of congruent angles, what additional information is needed to prove they are congruent using AAS?

Back

You need to know that one pair of corresponding non-included sides is congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of congruent angles and one pair of included sides, what postulate can be used to prove they are congruent?

Back

You can use the ASA postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the side to be between the two angles, while AAS allows the side to be outside the two angles.

Front

Can two triangles be congruent if they do not meet the ASA or AAS criteria?

Back

No, if they do not meet the ASA or AAS criteria, they cannot be proven congruent using these postulates.

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of a situation where triangles are not congruent?

Back

If two triangles have two pairs of congruent angles but different lengths for the corresponding sides, they are not congruent.

Tags

CCSS.8.G.A.2

Front

What additional information is needed to prove two triangles are congruent if you know one angle and two sides of one triangle are congruent to one angle and two sides of another triangle?

Back

You need to know that the included angle between the two sides is congruent.

Tags

CCSS.HSG.SRT.B.5