Proving Congruent Triangles: Key Concepts and Techniques

The video tutorial explains how to prove two triangles are congruent using the angle-angle-side (AAS) method. It begins by identifying a shared side between the triangles and then discusses the need to establish congruence between two angles. The tutorial provides examples of how to demonstrate that specific angles are congruent, which is essential for applying the AAS method effectively.

What is the shared side in the two triangles?

• The side opposite the right angle

• The side between the two given angles

• The longest side of the triangle

• The side that is common to both triangles

What does the Angle-Angle-Side (AAS) criterion require?

• Two sides and the included angle

• Three angles

• Two angles and a non-included side

• Two angles and the included side

In the AAS criterion, how should the angles and side be arranged?

• Angle, Angle, Side

• Side, Angle, Angle

• Angle, Side, Angle

• Side, Side, Angle

Which angle pairs need to be shown congruent to prove the triangles are congruent by AAS?

• Angle IQR and angle PQR

• Angle IQR and angle PRQ

• Angle IRQ and angle PQR

• Angle IRQ and angle PRQ

What is another pair of angles that can be shown congruent to prove the triangles are congruent by AAS?

• Angle IRQ and angle PQR

• Angle IRQ and angle PRQ

• Angle IQR and angle PQR

• Angle IQR and angle PRQ