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Notes 2.1B Geometry Chapter 3 Angles formed by two intersecting lines, Parallel and Perpendicular Lines Angle Pairs We must Know: Name ___________________________ 1) Vertical angles 2) Linear Pair Angles 3) Corresponding Angles Vertical angles are congruent. Linear pairs are supplementary. Looks like the letter “X” in the alphabet. Two angles that add up to 1800. If two lines are parallel and cut by a transversal, then corresponding angles are congruent Looks like the letter “F”. in the alphabet. Looks like the letter “T” in the alphabet. 4) Alternate Interior Angles 5) Alternate Exterior Angles 6) Same-Side Interior Angles Alternate interior angles are congruent, if the lines are parallel. Alternate exterior angles are congruent, if the lines are parallel. Same-side interior angles are supplementary, if the lines are parallel. Looks like the letter “Z” or “N” in the alphabet. Looks like the letter “C” in the alphabet. 7) Complementary Angles 8) Supplementary Angles 9) Perpendicular Angles Any two angles that add up to 900. Any two angles that add up to 1800. Two lines that intersect to form 900 or right angles. 150 650 750 1150 10) Midpoint The point that divides(bisects) a segment into two congruent segments. M is the midpoint of 11) Angle bisector A ray that divides (bisects) an angle into two congruent angles. K AC . R A M C 12) Perpendicular Bisector of a Segment A line perpendicular to a segment at the segments midpoint. The point at which it divides (bisects) the segment into two congruent segments. f L A AM + MC = AC Segment Addition Formula: x x y y2 M 1 2 , 1 2 2 C H LR bisects KLH mKLH = mRLH + mKLR Angle Addition Line f AC is the perpendicular bisector of