Proving Triangle Congruence with Two-Column Proofs

What are the five reasons for proving triangle congruence?

• SSS, SAS, ASA, AAS, LL

• SSS, SAS, ASA, AAS, HL

• SSS, SAS, ASA, AAS, HA

• SSS, SAS, ASA, AAS, HH

When proving triangle congruence, what should you do with the given information?

• Ignore it

• Mark it in the picture

• Write it down separately

• Use it only if necessary

In the example where segment AB is congruent to segment CD and segment BC is congruent to segment DA, what additional information is used to prove the triangles are congruent?

• Vertical angles

• Shared side

• Angle bisectors

• Midpoints

What property states that any segment is congruent to itself?

• Symmetric Property

• Transitive Property

• Reflexive Property

• Vertical Angles Property

In the example with angle XWY congruent to angle ZWY and angle XYW congruent to angle ZYW, what additional information is used to prove the triangles are congruent?

• Midpoints

• Angle bisectors

• Shared side

• Vertical angles

What is the reason for congruence when two triangles have two pairs of congruent angles and a shared side?

• ASA

• SAS

• SSS

• AAS

When given parallel lines in a proof, what type of angles should you look for?

• Corresponding angles

• Adjacent angles

• Vertical angles

• Alternate interior angles

What theorem states that the midpoint of a segment cuts the segment into two congruent halves?

• Reflexive Property

• Vertical Angles Theorem

• Angle Bisector Theorem

• Midpoint Theorem

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Corresponding

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

In the final proof, what property is used to show that segment FU is congruent to itself?

• Symmetric Property

• Transitive Property

• Reflexive Property

• Vertical Angles Property