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Proportional Segments

This lesson covers essential concepts about corresponding angles, alternate interior angles, and vertical angles. It includes homework questions that require identifying angles related to a given angle (∠3) and involves solving for unknown angles using properties of supplementary angles. Students will learn to apply angle relationships to find angles in various scenarios, enhancing their understanding of geometry's foundational concepts. Additionally, an open-note quiz section encourages students to engage with their previous notes and apply their knowledge to real problems.

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Proportional Segments

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  1. Proportional Segments Unit 6

  2. Corresponding Angles Alternate Interior Angles

  3. Let’s go over your HW. • What is the number of the vertical angle of  3? •  2 • What is the number of the corresponding angle of  3? •  7 • What is the number of the alternate interior angle of  3? •  6 • What is the number of the same side interior angle of  3? •  5 • The number of the supplementary angle of  3? •  1 and  4 • If m 3 were 80, what would be the m  1? • 100

  4. Open Note Quiz • Get out the notes that you took yesterday.

  5. Copy the picture above. • What are the measurements of 1 and 2? • What are the measurements that we know? • Does z have an angle relationship with 1 or 2? • Does 110 have an angle relationship with 1 or 2? • What does z equal? (Hint: z + 110 = 180) • What are the measurements of 1 and 2? z 110

  6. Copy the picture above. • What are the measurements of 1 and 2? • What are the measurements that we know? • Does 2x have an angle relationship with 1 or 2? • Does 3x have an angle relationship with 1 or 2? • What does x equal? (Hint: 2x + 3x = 180) • What are the measurements of 1 and 2? 8 7 2x 3x

  7. Write these equations. left top = right top left total right total left top__ = right top left bottom right bottom left top__ = left total__ middle line bottom line

  8. HW • Worktext p. 196 • Practice with Similar Figures WS

  9. Go to other PPT.

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