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Lesson 2.8 Vertical Angles

Lesson 2.8 Vertical Angles. Objective: After studying this lesson you will be able to recognize opposite rays and vertical angles. A. C. B. Definition Two collinear rays that have a common endpoint and extend in different directions are called opposite rays.

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Lesson 2.8 Vertical Angles

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  1. Lesson 2.8 Vertical Angles Objective: After studying this lesson you will be able to recognize opposite rays and vertical angles.

  2. A C B Definition Two collinear rays that have a common endpoint and extend in different directions are called opposite rays.

  3. Are all pairs of rays called opposite rays? K J Key questions: Are they on the same line? Do the rays share the same endpoint? O M A C B D

  4. Vertical Angles Whenever two lines intersect, two pairs of vertical angles are formed. 4 3 1 2 Definition Two angles are vertical angles if the rays forming the sides of one and the rays forming the sides of the other are opposite rays

  5. 92 Find the missing angles Are angle 3 and angle 2 vertical angles? 4 How do vertical angles compare in size? 3 1 2 Theorem 18 Vertical angles are congruent

  6. 6 7 5 Given: Diagram as shown Prove: Reasons Statements

  7. Given: 1 2 3 Prove: Reasons Statements

  8. O Given: 2 H 1 M K Prove: J Reasons Statements

  9. Given: 5 4 Find:

  10. Summary… Explain what opposite rays are and how they relate to vertical angles? Homework Lesson 2.8 Worksheet

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