Mar. 04 SSS, SAS, ASA, AAS, HL

Front

What does the acronym SSS stand for in triangle congruence?

Back

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 the acronym SAS stand for in triangle congruence?

Back

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 the acronym ASA stand for in triangle congruence?

Back

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 the acronym AAS stand for in triangle congruence?

Back

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 the acronym HL stand for in triangle congruence?

Back

Hypotenuse-Leg: A theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same shape and size, meaning their corresponding sides and angles are equal.

Front

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

Back

By showing that all three corresponding sides of the triangles are equal in length.

Front

How can you prove two triangles are congruent using the SAS postulate?

Back

By demonstrating that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove two triangles are congruent using the ASA postulate?

Back

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove two triangles are congruent using the AAS theorem?

Back

By demonstrating that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.