I heard we have to make a bunch of note cards again. Yeah, probably one for every type of angle formed by parallel lines cut by a transversal. At least.

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Presentation transcript:

I heard we have to make a bunch of note cards again. Yeah, probably one for every type of angle formed by parallel lines cut by a transversal. At least we don’t have to memorize everything. The note cards are great on tests! I love math!

Parallel lines are lines in the same plane that never intersect. A transversal is a line that intersects two or more lines in a plane at different points. There are eight angles formed by the transversal intersecting the lines

Intersecting lines are lines that cross each other. They have a point in common. A transversal can also intersect intersecting lines. Eight angles are still formed

Alternate Interior Angles opposite sides of the transversal both angles are interior angles do NOT share a vertex Identify a pair of alternate interior angles.

WHITE NOTE CARD: Alternate Interior Angles opposite sides of the transversal both angles are interior angles do NOT share a vertex X X 0 0

Consecutive Interior Angles same side of the transversal both angles are interior angles do NOT share a vertex Identify a pair of consecutive interior angles.

WHITE NOTE CARD: Consecutive Interior Angles same side of the transversal both angles are interior angles do NOT share a vertex X X 0 0

Corresponding Angles same side of the transversal one interior and one exterior angle do NOT share a vertex Identify a pair of corresponding angles.

WHITE NOTE CARD: Corresponding Angles same side of the transversal one interior angle, one exterior angle do NOT share a vertex X X 0 0 ☺ ☺

Alternate Exterior Angles opposite sides of the transversal both exterior angles do NOT share a vertex Identify a pair of alternate exterior angles.

WHITE NOTE CARD: Alternate Exterior Angles opposite sides of the transversal both angles are exterior angles do NOT share a vertex X X 0 0

Consecutive Exterior Angles same side of the transversal both exterior angles do NOT share a vertex Identify a pair of consecutive exterior angles.

WHITE NOTE CARD: Consecutive Exterior Angles same side of the transversal both angles are exterior angles do NOT share a vertex X X 0 0

If two parallel lines are cut by a transversal, then... alternate interior angles are congruent. consecutive interior angles are supplementary. corresponding angles are congruent. alternate exterior angles are congruent. consecutive exterior angles are supplementary.

COLORED NOTE CARD: If two parallel lines are cut by a transversal, then... alternate interior angles are congruent. consecutive interior angles are supplementary. corresponding angles are congruent. alternate exterior angles are congruent. consecutive exterior angles are supplementary.

If the lines cut by a transversal are NOT parallel, then no relationship exists between the pairs of angles EXCEPT vertical angles. Vertical angles are always congruent

100° a // b and c is the transversal. a b c Find the measure of each angle. Explain how you determined the measure.

195° x // y and z is the transversal. What other angle measures can you find? x y z

Are we done with the note cards yet? Yes, now it’s time to solve some equations!!!