Triangle Congruence

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, then the triangles are congruent.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What are the four main triangle congruence theorems?

Back

The four main triangle congruence theorems are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Front

What does the AAA criterion state about triangle congruence?

Back

The AAA (Angle-Angle-Angle) criterion states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

What is the SAS theorem in triangle congruence?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA theorem in triangle congruence?

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) 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 does it mean if two triangles are not necessarily congruent?

Back

If two triangles are not necessarily congruent, it means that while they may have some equal sides or angles, they do not meet the criteria for congruence, and their overall shape and size may differ.

Front

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

Back

To prove two triangles are congruent using the SSS theorem, you must show that all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the relationship between corresponding angles of congruent triangles?

Back

In congruent triangles, corresponding angles are equal.