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ANGLES Geometry 1.3a
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State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics and complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines.
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Vocabulary acute angle - an angle whose measure is between 0 and 90 . adjacent angles - two coplanar angles that share a vertex and a side but do not overlap. angle - two non-collinear rays having the same vertex
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Vocabulary continued… complementary angles - two angles whose measures add up to 90 degrees. congruent - having the same measure; having the same size and shape. obtuse angle - an angle whose measure is between 90 and 180 .
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Vocabulary continued… linear pair of angles - two adjacent angles whose non-shared rays form a straight angle. 1 2 right angle – an angle whose measure is exactly 90°.
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Vocabulary continued… supplementary angles - two angles whose measures add up to 180 degrees. vertex of an angle – the common endpoint of the sides of an angle. Question: What is the difference in a linear pair and supplementary angles?
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Last One… vertical angles - non-adjacent, non- overlapping congruent angles formed by two intersecting lines (They share a common vertex.) 1 and 3 are vertical angles. 2 and 4 are vertical angles. 1 2 3 4
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Let’s talk about angles… NOTE: If we name an angle by its vertex alone, there can only be one angle at that vertex…
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Parts of an angle: vertex side angle measured in degrees
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What do you remember?
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Congruent Angles: Congruent angles do not necessarily have congruent side.
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Types of angles: Which angles are linear pairs?
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Naming Angles Why can’t we call it ⁄ E?
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Types of angles:
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Angle Addition Postulate
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Examples
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Types of Angles
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Vertical Angles Theorem
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Identify the Second Angle
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Supplementary Angles
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Complementary Angles
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Examples
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