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

The video tutorial explains how to prove that triangle UWX is congruent to triangle UWV using given information and congruence properties. It starts by listing the given congruent lines and angles, then identifies additional congruent angles using the concept of linear pairs and right angles. The reflexive property is discussed as a method to establish congruence, although it is not necessary for this proof. The tutorial concludes with a congruency statement using the angle-angle-side (AAS) criterion.

What is the initial congruency established between lines UV and UX?

• They are congruent.

• They are equal in length.

• They are perpendicular.

• They are parallel.

Which angles are identified as congruent due to being right angles?

• Angle X and Angle V

• Angle U and Angle W

• Angle UWX and Angle UWV

• Angle XWU and Angle VWU

What method is used to prove the congruency of triangles UWX and UWV?

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side

• Angle-Angle-Side

What does the reflexive property state in the context of this proof?

• A side is equal to itself.

• A triangle is equal to itself.

• A line is parallel to itself.

• An angle is equal to itself.

Why is the reflexive property not necessary in this proof?

• Because side-angle-side is sufficient.

• Because angle-angle-side is sufficient.

• Because side-side-side is sufficient.

• Because angle-side-angle is sufficient.