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Angle Pair Relationships and Angle Bisectors
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If B is between A and C, then + = AC. Segment Addition Postulate AB BC
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Practice
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Angles formed by opposite rays. Vertical Angles <2 <4
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Angles that share a common side and a common vertex, but have no common interior points. Adjacent Angles <2 <4
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Two angles whose measures have a sum of 90 degrees. Complementary Angles <2
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Two angles whose measures have a sum of 180 degrees. Supplementary Angles <4
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Linear Pair Two angles that when adjacent form a line
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1. Name a pair of vertical angles. 2. Name a pair of adjacent Angles. 3. Name a pair of complementary angles. 4. Name a pair of supplementary angles. Identify the Angles
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When looking at a diagram, we can conclude: Vertical angles Adjacent angles Adjacent supplementary angles Looking at a Diagram
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Angles or segments are congruent Angles are right angles Lines are parallel or perpendicular **(unless there are marks that give this information) We cannot assume:
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What can you conclude from the diagram?
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What angles are considered vertical angles? What could you hypothesize about vertical angles based off of the diagram above? ▫VERTICAL ANGLES ARE EQUAL!! Vertical Angles
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Find the value of x
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An angle bisector is a segment through the vertex of an angle that divides the interior of the angle into two congruent parts. Angle Bisector
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Example 1
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Example 2
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In Class Work! Kagan pg 18 & 21
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Homework Worksheet 18 & 22
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