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Published byFrancis Carroll Modified over 9 years ago
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BUILDING BLOCKS OF GEOMETRY WOOOOOOT!
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GEO-METRY ◦Geo=earth ◦Metry=measure
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Building Blocks of Geometry ◦Undefined Terms ◦“It’s kinda like…” ◦Point ◦Line ◦Plane ◦Defined Terms ◦Defined using undefined terms
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Undefined Terms Point Plane Line
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Defined Terms ◦Some defined terms are pretty obvious ◦Coplanar, collinear, line segment, endpoint, midpoint ◦Some aren’t… ◦Congruent ◦bisect ◦Ray Take a few moments to define the easy ones.
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1.Name three tennis balls that are collinear. 2.Name three that are coplanar but NOT collinear. 3.Name four that are NOT coplanar. Ball A is in the pocket of the man. Ball C is on the woman’s racquet. All other balls are on the tennis court.
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Those Not So Obvious Words ◦Congruent ◦Things are congruent if (and only if) they have equal measures. ◦Bisect ◦Divide a segment into two congruent segments. ◦Ray ◦A ray is like a line, but only goes on in one direction (instead of two directions).
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Notation: How We Write ◦How many points do we need to name to identify a… ◦Point? ◦Line? ◦Plane?
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Notation ◦Never assume more than what is written!!!
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What makes a good definition? ◦Concise ◦Includes all necessary information and NOTHING ELSE! ◦What should we include when we make our definitions? ◦The verbal definition ◦Characteristics ◦Examples (Don’t forget pictures!) ◦Non-examples (Don’t forget pictures!)
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◦Collinear ◦Coplanar ◦Line Segment ◦Endpoint ◦Congruent Segments ◦Midpoint ◦Bisect ◦Ray ◦Point* ◦Line* ◦Plane*
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