Proving Segment and Angle Congruence

• 20°

• 30°

• 40°

• 60°

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

What is the reason?

• Reflexive

• Symmetric

• Definition of congruence

• Definition of equal

Give the reason for statement #4

• Reflexive property

• Addition of equality

• Substitution

• Segment Addition Postulate

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property

• Supplement Theorem
• Definition of angle bisector
• Definition of Congruence
• Definition of a right angle

What would you fill in for the statement on #1?

• m∠1 + m∠2 = 90°

• m∠3 + m∠4 = 90°

• m∠1 + m∠2 = 90°

  m∠3 + m∠4 = 90°

• m∠1 = m∠4

Which is correct to fill in Statement 6 ?

• Definition of Midpoint

• Definition of Congruence

• Subtraction Property

• Addition Property

• Transitive Property

Give the reason for statement #5

• Subtraction of equality

• Substution

• Addition of equality

• Definition of Congruent