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. I love math!!!! At least we don’t have to memorize everything. The note cards are great on tests!
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.
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: 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 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.
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: 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 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. Add this information about the relationship between the angle measures to each note card.
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 is time to solve some equations!