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Period Dat~ Name "~l~x{ 4.3 Angle Relationship__s Station 1: Vertical Angles Vertical Angles: Two nonadiacent angles formed by two intersecting lines. Draw an example of vertical angles: ~~ Prediction: What do you think the relationship between vertical angles is? Use your manipulative to demonstrate vertical angles. What do you notice? Measure the following vertical angles with your protractor: Conclusion: What is the relationship between vertical angles? Questions: 1. Is it possible to have a pair of acute vertical~ .~angles? If so, give an example. If not, explain why not. ,~. ~7 2. Is it possible to have a pair of obtuse vertical angles? If so, give an example. If not, explain why not. H~ ~~ 3. Is it pos~le for ~o lines to form 4 congruent angles? Station 2: Linear Pair Linear Pair: a pair of adjacent angles with noncommon sides that are opposite rays. Draw an example of a linear pair: Prediction: What do you think the relationship between two angles forming a linear pairis? -~eV ~L~ ~ ~ual Use your manipulative to demonstrate a linear pair. What do you notice? Measure the following angles with your protractor: Conclusion: What is the relationship between two angles forming a linear pair? Questions: 1. Can two acute angles form a linear pair? If so, give an example. If not, explain whynot. ~o. l~ b~ a~/eX b~¢ ¢ ~e~e ~ ~n qo~, 2. Can two obtuse angles form a linear pair? If so, give an example. If not, explain why not NO. ~’ h~th o,~l~ ~o,,~ ~ c~a~’~. ~(’~d~:~" ~-~cx QO°, 3. Is it possible for two angles that form a linear pair to be congruent? If so, give an example. If not, explain why not. Station 3: Complimentary and Supplementary Angles Complimentary Angles: two angles with measure that have a sum of 90 degrees. Supplementary Angles: two angles with measures that have a sum of 180 degrees. Given an angle, find its complimentary angle: 1. AA = 43° Given an angle, find its supplementary angle: 3. 4. /_DEF = 72° Questions: 1. Do complimentary/supplementary angles need to be adjacent angle to be considered complimentary/supplementary? 2. Does an obtuse angle always have a ~le? 3. Does an obtuse angle always have a supplementary angle? 4. Does an acute angle always have a complimentary angle? 5. Does an acute angle always have a supplementary angle.