MM Congruent Triangles (review)

Front

What does AAS stand for in triangle congruence?

Back

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

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 congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What is the ASA postulate 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.

Front

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

Back

No, two triangles cannot be determined to be congruent with only one side known; additional information about angles or other sides is needed.

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, making the triangles congruent by the AAS postulate.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all corresponding sides and angles are also congruent.

Front

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

Back

The included angle in the SAS postulate is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

To prove triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal in length to all three sides of another triangle.

Front

What is a necessary condition for using the ASA postulate?

Back

A necessary condition for using the ASA postulate is that the side must be between the two angles being compared.