Proving Segment and Angle Congruence

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 2?

• Given

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

Which property justifies the next step?

• Definition Congruence

• Segment Addition Post

• Transitive Property

• Definition Equality

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

• Reflexive

• Symmetric

• Transitive

• Addition

Name the property, definition, postulate, or theorem.

• def of congruent segments

• def of midpoint

• Segment Add Post

• def of angle bisector

Find the value of x.

• 19

• 15

• 14

• 11

• F

• G

• H

• J

AB + BC = AC is justified by which option below?

• Angle Addition Postulate

• Addition Property

• Segment Addition Postulate

• Theorem 22C