Proving Triangle Congruence with ASA in 2 Column Proofs

The video tutorial explains a method for proving triangles congruent using two-column proofs. It begins by analyzing given information and diagrams to identify congruent angles. The instructor emphasizes organizing steps in a proof, starting with givens and using properties like the reflexive property. The tutorial concludes by proving triangle congruence using the angle-side-angle theorem and encourages further practice with additional examples.

What is the first step in the process of proving triangles congruent?

• Mark the diagram

• Write down the Givens

• State the theorem

• Identify congruent sides

What does it mean when a line bisects an angle?

• The angle is divided into three parts

• The angle is doubled

• The angle is divided into two equal parts

• The angle is reduced by half

Why is it important to mark congruent angles on the diagram?

• To make the diagram look neat

• To help visualize and remember the congruence

• To confuse the students

• To make the proof longer

What is the reason for stating that angle M and L is congruent to angle O and L?

• Angle-side-angle theorem

• Definition of angle bisector

• Reflexive property

• Given

What is generally the first step students like to do in a two-column proof?

• Write the conclusion

• Identify the theorem

• Mark the diagram

• Write the Givens

What property is used to state that side LN is congruent to itself?

• Substitution property

• Transitive property

• Symmetric property

• Reflexive property

What is the included side in the angle-side-angle theorem?

• The side adjacent to the angle

• The side between the two angles

• The side opposite the angle

• The longest side

What is the final step in proving triangle congruence?

• State the theorem

• Write the Givens

• Identify congruent sides

• Prove the triangles are congruent

Why is it important to ensure corresponding vertices match up in the final step?

• To make the proof look neat

• To make the proof longer

• To ensure the triangles are congruent

• To confuse the students

What should you do if you want more practice with two-column proofs?

• Take a break

• Ask a friend

• Read a book

• Watch more videos on the channel