Proving Geometric Relationships

∠1 and ∠3 can best be described as -

• complementary angles

• supplementary angles

• vertical angles

• adjacent angles

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

The angle relationship shown is - 

• complementary angles

• supplementary angles

• vertical angles

• adjacent angles

• 20°

• 30°

• 40°

• 60°

What is the reason?

• Reflexive

• Symmetric

• Definition of congruence

• Definition of equal

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

• 2x + 10 = 46

• 2x + 10 + 46 = 180

• 2x + 10 + 46 = 90

• not here

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 3?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem

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

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles