Exploring Vertical Angles and Their Properties

What is the first step in the two-column proof for the given angles 2 and 3?

• Using the transitive property

• Identifying the vertical angles

• Writing the conclusion

• Marking the angles on the diagram

Which theorem is used to conclude that angle 1 is congruent to angle 2?

• Alternate Interior Angles Theorem

• Complementary Angles Theorem

• Vertical Angles Theorem

• Transitive Property

What property is used to prove that angle 1 is congruent to angle 3?

• Transitive Property

• Symmetric Property

• Vertical Angles Theorem

• Reflexive Property

What is the final step in the two-column proof for the first example?

• Writing the conclusion

• Using the transitive property

• Marking the angles on the diagram

• Identifying the vertical angles

In the second example, which angles are given as complementary?

• Angle O and Angle J

• Angle J and Angle 1

• Angle O and Angle 2

• Angle 1 and Angle 2

What is the third step in the two-column proof for the second example?

• Marking the angles on the diagram

• Writing the conclusion

• Identifying the vertical angles

• Using the transitive property

Which theorem is used to conclude that angle O is congruent to angle J?

• Vertical Angles Theorem

• Alternate Interior Angles Theorem

• Transitive Property

• Complementary Angles Theorem

Which section of the chapter involves the theorem used in the second example?

• Section 4.2

• Section 3.1

• Section 2.2

• Section 1.1

What is the reason given for angles being congruent if they are complementary to congruent angles?

• Complementary Angles Theorem

• Transitive Property

• Symmetric Property

• Vertical Angles Theorem

What should you study carefully to recognize vertical angles?

• Proofs

• Definitions

• Theorems

• Diagrams