Bellwork Quiz 1. What is the intersection of plane YXW and plane UTV? 2. Is R on plane STW? 3. B is between D and E. If DE = 2.5 and BD = 1.3, what is BE? 1.5a Angle Relationships Students will be able to identify if two angles are adjacent, vertical, supplementary, complementary or a linear pair. Angle Pairs Special Pairs Definition Keyword Adjacent Next to Side by side Complementary Add up to 90 degrees supplementary Add up to 180 degrees Linear pair Two angles that make a straight line Vertical angles Across from each other Example See above picture Name Game • For each pair of angles, determine their relationship. • List ALL that apply. #1 • #2 • #3 • #4 • #5 • Example 1 K L 2 3 4 O 1 D 5 M N Draw the diagram and name the following: a) Vertical angles: b) Obtuse vertical angles: c) Linear Pair: d) Complementary angles: e) Supplementary angles: Perpendicular (Defn)--Toolbox • If two lines (segments, rays) form a 90° angle, then they are perpendicular ( ). Example 2 • Find x so that DZ ZP . Example 3 • If two angles are supplementary and one angle is 18 less than the other angle, find the measure of both angles. Ticket to Leave 1. 2. 3. 4. Name an angle adjacent to HKJ . Name an angle vertical to EKH . Name an angle that forms a linear pair with JKG. Name an angle that is supplementary to EKF . Homework Worksheet Quiz TOMORROW over 1.4 & 1.5 Adjacent Angles (Defn) Example Non-example SRT & SRU SRT & TRU are adjacent angles they overlap Pairs of Angles (cont’d) 4. Vertical angles- nonadjacent angles formed by two intersecting lines. Key word: ___________________ Example Non-example 1 <1 and <3 not adjacent 2 D <2 and <4 If two angles are vertical, then ______________________ Pairs of Angles (cont’d) 5. Linear Pair- adjacent angles whose noncommon sides are opposite rays. The angles form a linear pair. Key word: _______. Example Non-example not straight 1 5& 6 2 D If you have a linear pair, then ______________________