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Proving Angles Congruent
Geometry 2-5
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Adjacent angles – Two coplanar angles that share a common side, a common vertex and no interior points Complementary Angles – Two angles whose measures have a sum of 90 Supplementary Angles – Two angles whose measures have a sum of 180 Angles
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How to use a protractor Review
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Investigation
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Linear pair – two angles formed from a ray and a line
1 2 Definition
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If two angles form a linear pair, then the measures of the angles add up to 180°
2 Conjecture
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Demo? 1 2 Conjecture
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Investigation
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Investigation
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Vertical Angles – opposite angles formed from intersecting lines
1 2 Definition
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If two angles are vertical angles then they have equal measures
1 2 Conjecture
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Demo? 1 2 Conjecture
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Proofs
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Proofs can be in different forms
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We have proven this, we never have to prove it again, and we can use this theorem to help other proofs. Angles
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Find the measure of each lettered angle without using a protractor
112° 112° 68° 68° 112° Examples
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Find the measure of each lettered angle without using a protractor
20° 70° 20° 110° 70° Examples
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Find the measure of each lettered angle without using a protractor
90° 163° 110° 27° 70° Examples
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Angles
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Angles - Practice
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Homework Pages 100 – 102 Day one: 1-19
Day two : 21, 29, 31, 35, 41, 48, 50 Homework
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Honors Homework Pages 100 – 102 Day one: 1-19
Day two : 21, 29, 31, 35, 41, 48, 50, 55 Honors Homework
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