Writing a Two Column Proof to Prove Two Triangles are Congruent - Congruent Triangles

The video tutorial explains how to write a proof using a two-column format. It covers the importance of given statements, congruency, and the reflexive property. The tutorial also discusses angle relationships, particularly alternate interior angles, and concludes with proving triangle congruency using the angle-angle-side method.

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

• List all possible theorems

• Draw a diagram

• Identify the conclusion

• Write down the premises and reasons

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

• Symmetric Property

• Transitive Property

• Reflexive Property

• Associative Property

What is the significance of parallel lines in a geometric proof?

• They are used to calculate area

• They determine the length of sides

• They help identify angle relationships

• They help identify congruent sides

Which angle relationship is identified when two parallel lines are intersected by a transversal?

• Vertical angles

• Corresponding angles

• Adjacent angles

• Alternate interior angles

What is the final statement in a proof supposed to represent?

• The conclusion of the proof

• The given premises

• The list of all possible solutions

• The diagram of the problem

Which congruency criterion is used in the final proof of the triangles?

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

Why is it important to write angles in the correct order when proving congruency?

• To match corresponding parts correctly

• To avoid using unnecessary theorems

• To simplify calculations

• To ensure the proof is concise