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Unit 3

Unit 3. Identify Pairs of Lines and Angles. Use Parallel Lines and Transversals. Lines that never intersect. Lines that cross at one point. Lines that cross forming right angles. Intersecting lines that aren’t perpendicular. Lines on the same plane.

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Unit 3

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  1. Unit 3 Identify Pairs of Lines and Angles Use Parallel Lines and Transversals

  2. Lines that never intersect. Lines that cross at one point

  3. Lines that cross forming right angles Intersecting lines that aren’t perpendicular

  4. Lines on the same plane Lines not on the same plane and don’t intersect

  5. 1. Use each of the vocabulary words to describe the picture. Line m and n Line m and n Line m and n

  6. Line that intersects two or more coplanar lines at different points Transversal

  7. same relative position Ex. top left

  8. Opposite sides, inside lines

  9. Opposite sides, outside lines

  10. Same side, inside lines

  11. If the two lines are parallel then something magical happens!!!!!! 130° 130° 50° 50° 130° 130° 50° 50°

  12. 1  5 2  6 3  8 4  7

  13. 3  6 4  5

  14. 1  7 2  8

  15. m3 + m5 = 180° m4 + m6 = 180°

  16. 2. Find the missing variables. Explain your reasoning. 80° x = _________________________ Angle Relationship: ____________ y = _________________________ Angle Relationship: ____________ Vertical angles 80° 80° 80° Corresponding Angles

  17. 2. Find the missing variables. Explain your reasoning. 60° x = _________________________ Angle Relationship: ____________ y = _________________________ Angle Relationship: ____________ Supplementary angles 60° 120° 120° Alt. Int. Angles

  18. 2. Find the missing variables. Explain your reasoning. 130° 50° x = _________________________ Angle Relationship: ____________ y = _________________________ Angle Relationship: ____________ Consecutive Interior Angles 50° 130° Vertical angles

  19. 2. Find the missing variables. Explain your reasoning. Alternate Interior Angles Angle Relationship: ____________ x = _________________________ 2x = 80 40°

  20. 2. Find the missing variables. Explain your reasoning. Corresponding Angles Angle Relationship: ____________ x = _________________________ x – 10 = 100 110°

  21. 2. Find the missing variables. Explain your reasoning. Consecutive Interior Angles Angle Relationship: ____________ x = _________________________ 2x + 110 = 180 2x = 70 35°

  22. 3. Solve for x and y. Corresponding Angles 3x = 60 x = 20°

  23. 3. Solve for x and y. Consecutive Interior Angles 5y – 5 + 135 = 180 5y + 130 = 180 5y = 50 y = 10° Corresponding Angles 3x = 60 x = 20°

  24. 4. Solve for x and y. Consecutive Interior Angles 10x + 90 = 180 10x = 90 x = 9°

  25. 4. Solve for x and y. Consecutive Interior Angles 2(2y – 11) + 7y + 4 = 180 4y – 22 + 7y + 4 = 180 11y – 18 = 180 Consecutive Interior Angles 11y = 198 10x + 90 = 180 y = 18° 10x = 90 x = 9°

  26. Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the given point parallel to the given line. P

  27. Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the given point perpendicular to the given line. P

  28. HW Problem 3.2 #28 2x + 90 = 180 2x = 90 x = 45°

  29. HW Problem 3.2 #28 2x + 90 = 180 3y + 6y = 180 2x = 90 9y = 180 x = 45° y = 20°

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