How Do You Represent AAS and ASA for Triangles - Congruent Triangles

The video tutorial reviews previously covered congruence concepts, such as side-side-side and side-angle-side, and introduces new concepts: angle-angle-side and angle-side-angle. The teacher explains how to prove congruence using these new methods, providing examples with triangles. The lesson concludes with instructions for students to identify congruent triangles using these methods during their proofs.

Which of the following congruence criteria was introduced in this lesson?

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

In the Angle-Side-Angle (ASA) congruence criterion, what is the significance of the side?

• The side must be the longest side.

• The side must be opposite to one of the angles.

• The side must be parallel to another side.

• The side must be included between the two angles.

How can you prove two triangles are congruent using the Angle-Angle-Side (AAS) criterion?

• By showing all three sides are equal.

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

• By showing two angles and a non-included side are equal.

• By showing all three angles are equal.

What should you look for when identifying congruent triangles in proofs?

• Triangles with equal altitudes.

• Triangles with equal perimeters.

• Triangles with equal areas.

• Triangles that can be proven congruent using AAS or ASA.

Which congruence criterion requires the side to be included between two angles?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)