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 Exterior angles – Angles that are outside the two lines cut by a transversal

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

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

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

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

Question 1 Name two pairs of Same Side Interior Angles

Question2 Name two pairs of Alternate Exterior Angles

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.)

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

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

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

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

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

Parallelogram Problem