Definition A transversal is a line that intersects 2 or more coplanar lines at different points. t m n Line t intersects coplanar lines m and n, so t is.

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Presentation transcript:

Definition A transversal is a line that intersects 2 or more coplanar lines at different points. t m n Line t intersects coplanar lines m and n, so t is a transversal. Draw a picture of 2 coplanar lines m and n (not parallel) with transversal t intersecting them Which of the numbered angles are interior angles and which ones are exterior angles? Discuss with your partner. Mr. Bystrzycki

Types of Angles Made by two lines and a Transversal Corresponding angles are two angles that are on the same side of the transversal, same side of the two lines. same side t m n Name another pair of corresponding angles to your partner. ____ and ____ are corresponding angles

Same side interior angles Same sideinterior t m n are two angles that are on the same side of the transversal, and inside the two lines. same side inside Which other pair of angles do you think are same side interior angles? Why? Discuss with your partner ____ and  ____ are same side interior angles because ______________. Describe this pair of angles. 4 5

Alternate interior angles Alternateinterior t m n are on different sides of the transversal, and inside the two lines. inside different Which other pair of angles do you think are alternate interior angles? Why? Discuss with your partner ____ and  ____ are alternate interior angles because ______________. Describe this pair of angles. 35

Alternate exterior angles Alternateexterior t m n are on different sides of the transversal, and outside the two lines. outside different Which other pair of angles do you think are alternate exterior angles? Why? Discuss with your partner ____ and  ____ are alternate exterior angles because ______________. What do you think this pair of angles is called? 2 8

Same side exterior angles Same sideexterior t m n are on same sides of the transversal, and outside the two lines. outside same Which other pair of angles do you think are same side exterior angles? Why? Discuss with your partner ____ and  ____ are same side exterior angles because ______________. What do you think this pair of angles is called? 27

t m n r Jack says that 9 and 15 are same side interior angles? Is he correct? Why or why not? Lori says that9 and 2 are same side exterior angles? Is she correct? Why or why not?

Parallel Lines C Y N I A T H G YH is parallel to CA YH is also parallel to NG YH is not parallel to AI. These are called skew lines What is the difference between parallel lines and skew lines? TPS. Parallel lines are lines that never intersect that are in the same plane. Skew lines are lines that never intersect that are NOT in the same plane. Skew lines are 3-d

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