How to Write a Proof Using SSS Congruence Theorem - Congruent Triangles

The video tutorial explains how to prove triangle congruence using the two-column proof method. It begins with a problem statement involving triangles QRST, where certain sides are given as congruent. The instructor guides students through writing statements and reasons, emphasizing the importance of understanding given information. Various methods for proving congruence, such as side-side-side and side-angle-side, are discussed. The video also covers the analysis of angles and sides, highlighting the reflexive property to conclude that triangles QRT and SRT are congruent.

What is the primary goal of the problem involving the figure QRST?

• To determine the angles of the figure

• To calculate the perimeter of the figure

• To prove triangle QRT is congruent to triangle SRT

• To find the area of the figure

What is the first step in writing a two-column proof?

• Measuring the sides

• Calculating the angles

• Writing down the given information

• Drawing the figure

What are the two methods mentioned for proving triangle congruence?

• Angle-Angle-Angle and Side-Side-Side

• Side-Side-Side and Side-Angle-Side

• Side-Angle-Side and Angle-Angle-Side

• Angle-Side-Angle and Side-Side-Side

Which property is used to state that a side is equal to itself in both triangles?

• Symmetric Property

• Associative Property

• Transitive Property

• Reflexive Property

Why can't we assume the angles are equal just by looking at them?

• Because they are not marked with a box

• Because they are different colors

• Because they are not measured

• Because they are not labeled

What is the significance of the side RT in the proof?

• It is the shortest side

• It is shared by both triangles

• It is perpendicular to another side

• It is the longest side

What criterion is ultimately used to prove the congruence of triangles QRT and SRT?

• Angle-Angle-Angle

• Side-Side-Side

• Side-Angle-Side

• Angle-Side-Angle