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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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