ASA & AAS (H)

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to determine triangle congruence. At least two angles or one angle and the included side must be known.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal. This property is fundamental in proving various geometric theorems.

Tags

CCSS.8.G.A.2

Front

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

Back

If two triangles have two pairs of congruent angles, they are congruent by the AAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent using AAS?

Back

To prove triangles congruent using AAS, you need two angles and one non-included side to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between AAS and ASA?

Back

AAS requires two angles and a non-included side, while ASA requires two angles and the included side to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are not congruent, what can be said about their angles and sides?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched up to determine congruence. If all corresponding parts are equal, the triangles are congruent.

Tags

CCSS.8.G.A.2