Download Station 1: Vertical Angles

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:
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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. ,~.
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2. Is it possible to have a pair of obtuse vertical angles? If so, give an example. If
not, explain why not. H~
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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.