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Section 1 – 1 Identify Points, Lines, and Planes
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Definition: Facts/Characteristics: Examples:Non-examples: Point Has no dimension and is represented by a dot. ●A point A Name a point on the line Points A, B or C
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Definition: Facts/Characteristics: Examples:Non-examples: Line Has one dimension and is represented with two arrowheads and extends without end. Written like this : Line l, line AB, line BA Write the line 3 ways Line m, line DE, line ED DE m
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Definition: Facts/Characteristics: Examples:Non-examples: Plane Has two dimensions and is represented by a shape that looks like a floor or a wall and extends without end. Plane F, or Plane ABC Two other names for plane l Plane ABC Plane CAD etc.
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Definition: Facts/Characteristics: Examples:Non-examples: Collinear points Points that lie on the same line. Name two collinear points Points A, B, E Points D, B, C Points A & D Points C & E are not collinear. Points A, B, and C are all collinear
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Definition: Facts/Characteristics: Examples:Non-examples: Coplanar points Points that lie on the same plane Points A, B, and C are all coplanar Name 3 coplanar points Points G, E, O, B Points F, A, L, I, C Points G and F are not coplanar Points O and L are not coplanar
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Definition: Facts/Characteristics: Examples:Non-examples: Segment Part of a line defined by two endpoints. Written as: AB or BA What’s another name for CD DC Watch your symbols: CD is not CD
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Definition: Facts/Characteristics: Examples:Non-examples: Ray Part of a line from a point in one direction without end. Written: ray AB Name rays with endpoint B Rays BA, BC BD, BE Written: ray BA
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Definition: Facts/Characteristics: Examples:Non-examples: Opposite Rays Two connected rays going in opposite directions. Opposite rays make a line. Rays CA and CB are opposite Name 2 sets of opposite rays Rays BC and BD Rays BA and BE
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Definition: Facts/Characteristics: Examples:Non-examples: Intersection Location where two geometric figures have point(s) in common. Two lines intersect at a point. Two planes intersect in a line. Lines DC and AB intersect at point E Planes Q and P intersect at line AB
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Homework Section 1-1 Page 5 – 6 1 – 6, 8 – 12, 17, 18, 20, 25, 26
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Vocabulary Point: Has no dimension and is represented by a dot. ●A point A Line: Has one dimension and is represented with two arrowheads and extends without end. l A B line l, line AB or BA
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Plane: Has two dimensions and is represented by a shape that looks like a floor or a wall and extends without end. A M C B plane M or plane ABC Collinear Points: Points that lie on the same line. Coplanar Points: Points that lie in the same plane.
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Segment: Part of a line defined by two endpoints. endpoint endpoint AB segment AB or BA Ray: Part of a line from a point in one direction without end. endpoint A B Ray AB endpoint AB Ray BA
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Opposite Rays: Two connected rays going in opposite directions. Opposite rays make a line. A C B Opposite Rays: CA and CB Intersection: Location where two geometric figures have point(s) in common. Two lines intersect at a point. Two planes intersect in a line.
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Example 1 T A E B C D m a) Give two other names for BD. DB and m. b) Give another name for plane T. Plane ABE or ABC c) Name three points that are collinear. A, B, C d) Name four points that are coplanar. A, B, C, E
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Example 2 T Q S R P a) Give another name for PR. RP b) Name all rays with endpoint Q. QP, QR, QT, QS c) Which of the rays from 2b are opposite rays? QP and QR QT and QS
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