G. Congruent Triangles Postulates and Congruent Statements CFA

Front

What does it mean when we say ∆ABC≅∆XYZ?

Back

It means that triangle ABC is congruent to triangle XYZ, indicating that their corresponding sides and angles are equal.

Front

What is the SAS postulate?

Back

The Side-Angle-Side (SAS) postulate 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 postulate?

Back

The Angle-Side-Angle (ASA) postulate 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 SSS postulate?

Back

The Side-Side-Side (SSS) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a method for proving the congruence of right triangles by showing that the hypotenuse and one leg are equal.

Front

What are corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of congruent triangles that are equal to each other.

Front

If ∆EHG≅∆KFC, what can we conclude about the sides EH and FK?

Back

EH≅FK, meaning that the corresponding sides of the congruent triangles are equal.

Front

In congruent triangles, corresponding angles are always ______.

Back

equal.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.