Triangle Congruence Statements

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent.

Front

What is the Triangle Congruence Postulate?

Back

The Triangle Congruence Postulate states that if two triangles have two sides and the included angle equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What are the three main Triangle Congruence Theorems?

Back

The three main Triangle Congruence Theorems are: SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

Front

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

Back

Two triangles are congruent using the SSS theorem if all three sides of one triangle are equal in length to the corresponding sides of the other triangle.

Front

What is the difference between ASA and AAS in triangle congruence?

Back

ASA (Angle-Side-Angle) requires two angles and the included side to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.

Front

What is the significance of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal in measure, which means that if two triangles are congruent, all their corresponding angles and sides are also congruent.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are angles that are in the same relative position in each triangle.

Front

How do you write a congruence statement for triangles?

Back

A congruence statement for triangles lists the vertices of the triangles in corresponding order, indicating which angles and sides are congruent.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal in measure.