topic 9 important terms

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Important Terms:

    Point: A definite location in space.

    Line: A series of points that goes forever in both directions.Plane: an infinitely large 2 dimensional (flat) surface.

    Points and lines "rest" on a plane. A solid shape, like a

    cube has multiple planes. Each face of the cube is its own

    plane.

    Line: A series of points that goes forever in both directions

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Important Terms: Digging Deeper with Lines

    Line Segment: Part of a line, has endpoints

    Ray: Part of a line that has one endpoint, other end

    continues forever in one direction.

    Angle: 2 rays or line segments that meet at a common

    point.

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Important Terms: Digging Deeper with Lines

    Parallel Lines: 2 lines that never intersect

    Intersecting Lines: 2 lines that cross paths

    Perpendicular lines: 2 lines that intersect at a right angle (90)

    Note: The terms parallel, intersecting and perpendicular can

    be used with rays and line segments.

    Square Symbol is frequently used to show a right angle

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Important Terms: Digging Deeper with Angles

    Acute Angle: An angle that measures less than 90

    (0 < Acute Angle < 90)

    Right Angle: An angle that measures exactly 90

    (Think corner of a square)

    Obtuse Angle: An angle that is greater than 90

    (90 < Obtuse Angle < 180)

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Important Terms: Creating Shapes with Angles and Line Segments

    Polygon: A closed figure (shape) that only has line segments for

    sides.

    Triangle: A 3-sided polygon

    Quadrilateral: a 4-sided polygon

    Pentagon: a 5-sided polygon

    Hexagon: a 6-sided polygon

    Octagon: an 8-sided polygon

    Polygons Not Polygons

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Focus on Triangles:

    Triangles are named by their angle types and side lengths

    Angle Naming Side Naming

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Focus on Triangles:

    Triangles are named by their angle types and side lengths

    The bestway to name a triangle is with both the angle name and side

    name:

    Acute Isosceles Obtuse Scalene Right Isoceles

    all acute angles 1 obtuse angle 1 right angle

    2 equal sides 0 equal sides 2 equal sides

    Special Case!

    An Equilateral Triangle is a triangle with 3 equal sides. You don't need to

    call it an "Acute Equliateral", it's just an Equilateral.

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Focus on Quadrilaterals

    Quadrilaterals are 4-sided polygons

    Quadrilaterals are classified or named by how their sides relate to each other.

    We need to use the most specific name.

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    Focus on Quadrilaterals

    The sequence below might help to show why when we name a quadrilateral we need to

    use the most specific name.

    yes

    yes

    yes

    yes

    YES! .... and the most specific name

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    Topic 9: Lines, Shapes and Angles (2D Geometry)

    One last thing to remember. Really knowing what all the

    terms on the previous pages are only partof what we need

    to be able to do as learners.

    So, while it is important that we know what a line segment is

    or what a trapezoid is, we will also be working a great deal

    on how to apply the knowledge of these geometrical terms.