How Does Congruency of ASA Look like - Congruent Triangles

The video tutorial explains how to determine if two triangles are congruent using the angle-side-angle (ASA) method by examining their corresponding parts. It reviews the concept of included angles, particularly in the context of side-angle-side (SAS) congruence, and clarifies common misconceptions. The tutorial emphasizes the importance of identifying the included side or angle correctly to prove congruence. Through interactive questioning, the teacher guides students to understand these geometric principles, ensuring they grasp the concept of congruence in triangles.

What is the key criterion for proving two triangles congruent using the Angle-Side-Angle (ASA) method?

• The triangles must be isosceles.

• The angles must be equal, and the side must be between them.

• The side must be the longest side.

• The angles must be right angles.

In the Side-Angle-Side (SAS) criterion, what is special about the angle?

• It must be an exterior angle.

• It must be the largest angle.

• It must be an included angle between the two sides.

• It must be a right angle.

Which triangle has an included angle according to the SAS criterion?

• A triangle with angles on opposite sides.

• A triangle with all equal sides.

• A triangle with the angle between the two given sides.

• A triangle with no equal angles.

For the Angle-Side-Angle (ASA) criterion, what must be included?

• The side must be included between the two angles.

• The angle must be included between the two sides.

• The side must be the longest side.

• The angles must be adjacent.

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

• By showing two angles and the included side are equal.

• By showing all angles are equal.

• By showing one angle and two sides are equal.

• By showing all sides are equal.