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Segments, Rays, Lines, and Planes 1-4
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Segments The part of a line consisting of two endpoints and all points between them AB or BA
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Ray Part of a line consisting of one endpoint and all the points of the line on one side of that endpoint. XY
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Opposite Rays Two collinear rays with the same endpoint that form a line.
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Naming Segments and Rays Name the segments and rays in the figure below. LPLQ QL QP PL PQ
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Parallel Lines Coplanar lines that never meet or intersect.
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Skew Lines Noncoplanar lines that are not parallel and do not intersect
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Identifying Parallel and Skew Segments a.Name all labeled segments that are parallel to DC. b.Name all labeled segments that are skew to DC.
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1. Name all labeled segments that are parallel to GJ 2. Name all labeled segments that are skew to GJ 3. Name another pair of parallel and skew segments
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Parallel Planes Planes that do not intersect A line and a plane that do not intersect are also parallel. Plane ABCD ║ Plane GHIJ Plane ABCD ║ GH
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1. Name 2 pairs of parallel planes 2. Name a line that is parallel to plane GHIJ
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1. Name 3 pairs of parallel planes 2. Name a line that is parallel to plane QRUV
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1. Name the segments 2. Name the rays 3. Name a pair of opposite rays with T as an endpoint 4. Name another pair of opposite rays
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1. Name all segments that are parallel to the given segment AC EF AD 2. Name all segments that are skew to the given segment AC EF AD
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Name a pair of parallel planes Name a line and a plane that are parallel
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How to Draw Intersecting Planes
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Measuring Segments 1-5
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Ruler Postulate The distance between any two points is the absolute values of the difference of the corresponding coordinates.
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Ruler Postulate Difference means subtract. Therefore: Distance AB = a-b 4-7 = -3 = 3
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Find the length of each segment. AC = BD = AD = BE = CE = BC =
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On a number line, X, Y, Z, and W are -7, -3, 1, and 5 respectively. Find the lengths of the segments. XY = WY = ZW = YZ = ZX = XW =
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Congruent segments Congruence means that two figures are equal in size, and similar in shape. The symbol for congruence is Symbols can be marked to show they are congruent
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Comparing Segment Lengths Find AB and BC. Are AB & BC congruent? AB = BC =
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Comparing Segment Lengths Find CD and DE. Are CD & DE congruent? CD = DE =
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Segment Addition Postulate Note that AB + BC = 6. Also note that AC = 6 If three points are collinear, and B is between A and C, then AB + BC = AC
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If RS = 15, and ST = 9, then RT = ? 15 9
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2x-8 3x-12 If DT = 60, find the value of x. Then find DS and DT.
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If EG = 100, find the value of x. Then find EF and FG. 4x-20 2x+30
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Midpoint The midpoint is a point that divides the segment into two congruent segments. A midpoint, or any line, ray, or segment through a midpoint, is said to bisect the segment. 8 8 16
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Midpoint AB = BC AB = BC = AC = 2x+1 3x-4
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Midpoint XA = AY XA = AY = XY = 3X 5X-6
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Worksheets Worksheet 1-4 Complete 1-21(all) Worksheet 1-5 Complete 1-15 (all) Due Tomorrow
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