Learn How to Prove Two Triangles are Congruent by SSS - Congruent Triangles

The video tutorial guides students through the process of writing a geometric proof. It begins with an introduction to the problem of proving triangle congruence, using given information about congruent sides and a midpoint. The instructor explains how to identify congruent sides and set up the proof with statements and reasons. The proof is completed using the side-side-side (SSS) congruence theorem, and the instructor emphasizes the importance of understanding each step in the process.

What is the main goal of the proof discussed in the video?

• To determine the midpoint of AC

• To calculate the area of triangle ABD

• To find the length of side AB

• To prove triangle ABD is congruent to triangle CBD

What does it mean when AB is congruent to CB?

• AB and CB are perpendicular

• AB and CB are equal in measure

• AB is longer than CB

• AB is shorter than CB

Why is D considered the midpoint of AC?

• Because D is closer to C

• Because D is the endpoint of AC

• Because D divides AC into two equal parts

• Because D is closer to A

Which side is identified as the common side for both triangles?

• AC

• DB

• AB

• CD

What property is used to state that DB is congruent to itself?

• Associative Property

• Symmetric Property

• Transitive Property

• Reflexive Property

What is the final conclusion of the proof?

• Triangle ABD is similar to triangle CBD

• Triangle ABD is congruent to triangle CBD

• Triangle ABD is not related to triangle CBD

• Triangle ABD is larger than triangle CBD

Which congruence criterion is used to prove the triangles are congruent?

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)