Triangle Congruence SSS,SAS,AAS,ASA

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem 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 is the relationship between triangle congruence and the SSS theorem?

Back

The SSS theorem states that if all three sides of one triangle are equal to all three sides of another triangle, then the two triangles are congruent.

Front

What is the relationship between triangle congruence and the SAS theorem?

Back

The SAS theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

What is the relationship between triangle congruence and the AAS theorem?

Back

The AAS theorem states 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, then the triangles are congruent.

Front

What is the relationship between triangle congruence and the ASA theorem?

Back

The ASA theorem states that if two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle, then the triangles are congruent.

Front

If two triangles have sides of lengths 5, 7, and 10, and another triangle has sides of lengths 5, 7, and 10, are the triangles congruent?

Back

Yes, by the SSS theorem, the triangles are congruent because all three sides are equal.

Front

If triangle ABC has angles of 30°, 60°, and 90°, and triangle DEF has angles of 30°, 60°, and 90°, are the triangles congruent?

Back

Yes, by the AA criterion (Angle-Angle), the triangles are congruent because they have the same angles.