The video tutorial explains how to prove that two triangles, LMN and LPN, are congruent using a two-column proof method. It discusses the given information, such as congruent lines and angles, and explores methods like Side-Side-Side (SSS) and Side-Angle-Side (SAS) to determine congruence. The concept of included angles is also covered, leading to the conclusion that the triangles are congruent by SSS.

What is the first step in proving the congruence of triangles LMN and LPN?

• Measure the angles

• Write a two-column proof

• Calculate the area of the triangles

• Identify the congruent angles

Which method is NOT mentioned as a way to prove triangle congruence?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

What is an included angle?

• An angle that is not part of the triangle

• An angle formed between two sides of a triangle

• An angle that is always 90 degrees

• An angle that is equal to the sum of the other two angles

Why can we say that line segment LN is congruent in both triangles?

• Because it has the same length as another segment

• Because it is parallel to another line

• Because it is given in the problem

• Because it is the same line segment in both triangles

Which method is used to finally prove the congruence of triangles LMN and LPN?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)