Proving Geometric Relationships

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Find m∠13 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

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

Which justifies step 2?

• Given

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Find m∠3. ∠2 and ∠3 are complementary. ∠1≅ ∠4 and m∠2 = 28.

• 62°

• 45°

• 28°

• 72°

Find m∠1. ∠2 and ∠3 are complementary. ∠1≅ ∠4 and m∠2 = 28.

• 62°

• 45°

• 28°

• 72°

Name the property described:
If MN = OP and OP = QR, then MN = QR

• Reflexive

• Symmetric

• Transitive

• Addition

what is the 3rd reason?

• definition of congruence

• transitive property

• definition of midpoint

• given

Find the value of x.

• 52

• 63

• 53

• 58

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles