Segment Properties and Proofs

Give the reason for statement #1

• Given
• Reflexive Property
• Symmetric Property
• Definition of perpendicular

Give the reason for statement #2

• Segment addition postulate
• Addition of equality
• Angle addition postulate
• Transitive property

Give the reason for statement #3

• Substitution
• Subtraction of equality
• Symmetric Property
• Addition of equality

Give the reason for statement #4

• Segment Addition Postulate
• Addition of equality
• Substitution
• Reflexive property

Give the reason for statement #5

• Subtraction of equality
• Substution
• Addition of equality
• Definition of Congruent 

Give the reason for statement # 6

• Substraction of equality
• Multiplication of equality
• Transitive property
• Reflexive property