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Understanding Parallel Lines and Transversals for Geometry

Explore the properties of parallel lines, transversals, and various angle relationships in geometry. Learn about alternate interior, alternate exterior, corresponding, vertical, adjacent, complementary, and supplementary angles.

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Understanding Parallel Lines and Transversals for Geometry

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  1. Parallel Lines

  2. Lines that are the same distance apart, they never intersect.

  3. Transversal line

  4. E F

  5. A line that cuts through two parallel lines

  6. Alternate interior angles

  7. 1 2

  8. Angles on alternating opposite sides of a transversal and inside the parallel lines. These angles are also congruent

  9. Alternate Exterior Angles

  10. 1 2

  11. Angles on alternating opposite sides of a transversal and outside the parallel lines. These angles are also congruent

  12. CorrespondingAngles

  13. 1 2

  14. Angles in matching corners of two // lines cut by a transversal and are always congruent.

  15. VerticalAngles

  16. 1 2

  17. Angles that share the same vertex and are intersected by two lines. They are always congruent

  18. AdjacentAngles

  19. 2 1

  20. Angles that share a side and vertex. They never overlap.

  21. Complementary Angles

  22. 2x 5x +3

  23. The sum of these angles equal 90 degrees

  24. Supplementary Angles

  25. 1 2

  26. The sum of these angles are equal to 180 degrees

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