Geometry PowerPoint PPT Presentation

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Title: Geometry


1
Geometry
Mathematical study of space and objects in space.
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Basic Concepts
3
Coordinate Grid
4
Protractor
5
Compass
6
LINES
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Line Segment
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Ray
9
Line
10
Parallel Lines
11
Perpendicular Lines
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ANGLES
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(0lt m?a lt 90)
a
Acute Angle
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(90lt m?a lt 180)
a
Obtuse Angle
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(m?a 90)
a
Right Angle
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(m?a 180)
a
Straight Angle
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(180lt m?a lt 360)
a
Reflex Angle
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POLYGONS
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Polygon
vertex
side
interior
A closed 2-dimensional figure whose sides are
connected but do not cross.
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Regular Polygon
A polygon whose sides are all the same length and
angles are equal.
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What type of polygon is this?
Concave
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Convex
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Hexagon
6 - gon
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Quadrilateral
4 - lateral
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Decagon
10 - gon
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Pentagon
5 - gon
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Heptagon
7 - gon
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Octagon
8 - gon
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Triangle
3 - angle
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Nonagon
9 - gon
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TRIANGLES
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Isosceles
2 sides of the same length
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Scalene
3 different length sides
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Equilateral
3 equal length sides (and angles)
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Right
1 right angle
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Acute
All angles are acute
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Obtuse
1 obtuse angle
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Quadrilaterals
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Polygons
Squares
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Parallelogram
Opposite sides are parallel
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Rhombus
Parallelogram whose sides are all equal
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Rectangle
Parallelogram whose angles are all equal (90)
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Square
Parallelogram whose angles and sides are all
equal. All squares are rectangles and rhombuses.
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Trapezoid
A quadrilateral with exactly one pair of parallel
sides.
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Kite
A quadrilateral with two pairs of adjacent (next
to each other) equal sides .
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CIRCLES
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radius
diameter (twice the radius)
arc
center
Circle
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3-D FiguresGeometric Solids
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vertex
face
edge
base
Triangular Prism
A solid whose base is a triangle.
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base
vertex
edge
face
Rectangular Prism
A solid whose base is a rectangle.
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Cube
A rectangular prism in which all sides are equal
(they are squares.)
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base
face
Cylinder
A solid whose base is a circle.
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base
apex
Cone
A solid with a circular base, a curved surface,
and an apex.
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apex
base
Pyramid
A solid with a polygon base, and all other faces
are triangles that come together at an apex.
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center
circumference
Sphere
The set of all points in space that are the same
distance from the center (3-d.)
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Transformations
Operation on a figure that produces another
figure.
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Line of Symmetry
A line drawn through a figure that divides it
into two parts that look exactly alike, but are
facing in opposite directions.
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Congruent
Having the same size and shape.
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Similar
Having the same shape, but not necessarily the
same size.
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Reflection
The flipping of a figure over a line (mirror
image.)
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Rotation
The turning of a figure around an axis or a fixed
point.
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Translation
The sliding of a figure.
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Thats all folks!
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