Proving Geometric Relationships

For the proof shown, provide statement 5.

• AB=EF

• AB=DE

• AC=DF

• BF=DF

What is reason 5?

• Transitive Property

• Reflexive Property

• Symmetric Property

• Prove

• 20°

• 30°

• 40°

• 60°

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

Give the reason for statement #4

• Reflexive property

• Addition of equality

• Substitution

• Segment Addition Postulate

What type of angle is shown?

• acute

• obtuse

• right

• straight

The angle relationship shown is - 

• complementary angles

• supplementary angles

• vertical angles

• adjacent angles

Which equation can be used to determine the value of x?

• 2x + 10 = 46

• 2x + 10 + 46 = 180

• 2x + 10 + 46 = 90

• not here

What is the reason?

• Reflexive

• Symmetric

• Definition of congruence

• Definition of equal

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 6?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem