Geometric Two Column Proof

In the given proof, what is the statement for step 4?

What is the REASON for Statement #1?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

Fill in the statement for number 4. 

• RA=RE +AE

• EL = EA + AL

• RE +EA= EA +AL

• RA = EL

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

2) Which statement represents what you have to prove from the question?

• 
• 
• 

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem