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Chapter 3.1 Properties of Parallel Lines

Chapter 3.1 Properties of Parallel Lines. Vocabulary. Transversal – a line that intersects two coplanar lines at two distinct points. Vocabulary. Interior angles – Angles that are in between the two lines cut by a transversal. Vocabulary.

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Chapter 3.1 Properties of Parallel Lines

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  1. Chapter 3.1 Properties of Parallel Lines

  2. Vocabulary • Transversal – a line that intersects two coplanar lines at two distinct points.

  3. Vocabulary • Interior angles – Angles that are in between the two lines cut by a transversal

  4. Vocabulary • Exterior angles – Angles that are outside the two lines cut by a transversal

  5. Vocabulary • Alternate interior angles Angle 4 and 5 And Angle 3 and 6 are alternate interior angles

  6. Vocabulary • Alternate exterior angles Angle 1 and 8 And Angle 2 and 7 are alternate exterior angles

  7. Vocabulary • Corresponding Angles – in the same position in terms of the transversal. Angle 1 and 5 Angle 2 and 6 Angle 4 and 8 Angle 3 and 7 Are corresponding angles

  8. On the exit slip…. • Write your answers to the following questions

  9. Question 1 Name two pairs of Same Side Interior Angles

  10. Question2 • Name two pairs of Alternate Exterior Angles

  11. Homework Find a picture that contains an example of parallel lines and a transversal • from a magazine, newpaper.. Take a picture... Ect. • You can draw in the transversal if you need to. On the example label: • The transversal • Interior angles • Exterior angles • Corresponding angles • (*bonus if you highlight the alternate and same side exterior and interior angles.)

  12. Corresponding Angles Postulate • If a transversal intersects two parallel lines, then corresponding angles are congruent

  13. Alternate Interior Angles Theorem • If a transversal intersects two parallel lines, then alternate interior angles are congruent

  14. Same-Side Interior Angles Theorem • If a transversal intersects two parallel lines, then same side interior angles are supplementary

  15. Alternate Exterior Angles Theorem • If a transversal intersects two parallel lines, then alternate exterior angles are congruent

  16. Same-side Exterior Angles Theorem • If a transversal intersects two parallel lines, then same side exterior angles are supplementary

  17. Parallelogram Problem

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