Coach E's Congruent Triangles-SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the significance of the order of vertices in triangle congruence?

Back

The order of vertices matters because it indicates which angles and sides correspond to each other in congruent triangles.

Front

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

Back

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

Front

Can SSA (Side-Side-Angle) prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

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

Back

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

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

To determine if two triangles are congruent using the SSS postulate, measure all three sides of both triangles and check if they are equal.

Front

What is an example of using the ASA postulate?

Back

If triangle ABC has angles A and B equal to angles D and E in triangle DEF, and side AB is equal to side DE, then triangle ABC is congruent to triangle DEF by ASA.