Geometric Two Column Proof

What is always the 1st statement in reason column of a proof?

• Prove

• Given

• Reason

• Statement

If M is the midpoint of AB, then AM = MB

• Addition POE

• Def. of Midpoint 

• Reflexive POE

• Symmetric

How many columns are in a two-column proof?

• depends on the proof

• 5

• as many as you want

• 2

If DA bisects IE, then

• ID=ED

• IA=EA

• <IDA=<EDA

• <IAD and <EAD are right angles

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles

• Substitution

• Transitive Property

• Given

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent.

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• m∠ABD+m∠ABD=m∠ABD+m∠DBC

What is the missing statement in the proof?

• Subtraction p.o.e.

• Substitution p.o.e.

• Transitive p.o.e.

• Symmetric p.o.e.

What is Reason C?

• Definition of Congruence

• Definition of Vertical Angles

• Reflexive Property

• Vertical Angle Theorem

What was duplicated?

• line

• line segment

• ray

• angle