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3.3 - Angles Formed By Transversals

3.3 - Angles Formed By Transversals. Objective: #5 HW #4. Defining Transversals. A transversal is a line that intersects two or more coplanar lines at different points. In the diagram below, t is the transversal. Special Angles.

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3.3 - Angles Formed By Transversals

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  1. 3.3 - Angles Formed By Transversals Objective: #5 HW #4

  2. Defining Transversals • A transversal is a line that intersects two or more coplanar lines at different points. • In the diagram below, t is the transversal.

  3. Special Angles • The angles formed by two lines and a transversal have special names: • Corresponding Angles • Alternate Interior Angles • Same-Side Interior Angles • Alternate Exterior Angles

  4. Corresponding Angles • Two angles are corresponding angles if they occupy corresponding positions.

  5. Alternate Interior Angles • Two angles are alternate interior angles if they lie between the two lines on opposite sides of the transversal.

  6. Same-Side Interior Angles • Two angles are same-side interior angles if they lie between the two lines on the same side of the transversal.

  7. Alternate Exterior Angles • Two angles are alternate exterior angles if they lie outside of the two lines on opposite sides of the transversal.

  8. Example 1 Describe the relationship between the angles. a. 1and 2 b. 3and 4 c. 5and 6 SOLUTION a. alternate interior angles b. alternate exterior angles c. same-side interior angles Describe Angles Formed by Transversals

  9. Example 2 List all pairs of angles that fit the description. a. corresponding b. alternate exterior c. alternate interior d. same-side interior SOLUTION a. corresponding 1and5 2and6 3and7 4and8 Identify Angles Formed by Transversals

  10. Example 2 b. alternate exterior: 1and8 3and6 c. alternate interior: 2and7 4and5 d. same-side interior: 2and5 4and7 Identify Angles Formed by Transversals

  11. Checkpoint 1. 2 and7 alternate exterior angles ANSWER 2. 3 and5 same-side interior angles ANSWER 3. 1 and5 corresponding angles ANSWER Describe Angles Formed by Transversals Describe the relationship between the angles.

  12. Checkpoint Describe the relationship between the angles. 4. 4 and5 alternate interior angles ANSWER 5. 4 and8 corresponding angles ANSWER 6. 4 and6 same-side interior angles ANSWER Describe Angles Formed by Transversals

  13. Name That Angle Game! When a diagram is shown, be the first team to hold up the correctly colored sign of the type of angle relationship shown.

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  16. 1 1 1 1 1 2 2 2 2 2

  17. 1 1 1 1 1 2 2 2 2 2

  18. 1 1 1 1 1 2 2 2 2 2

  19. 1 1 1 1 1 2 2 2 2 2

  20. 1 1 1 1 1 2 2 2 2 2

  21. 1 1 1 1 1 2 2 2 2 2

  22. 1 1 1 1 1 2 2 2 2 2

  23. 1 1 1 1 1 2 2 2 2 2

  24. 1 1 1 1 1 2 2 2 2 2

  25. 1 1 1 1 1 2 2 2 2 2

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