Advanced Geometry - Unit 1

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53 Terms

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Undefined Term
term that is best described using pictures. (Point, line, and plane)
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Point
a dot
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Line
infinite set of points
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Plane
a 2D flat surface which contains points and lines.
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Defined Term
Terms with definitions
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Collinear
3 or more points on the same line
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Coplanar
3 or more points on the same plane
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Intersection
Where 2 things meet
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Space
Where everything is contained
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Line Segment
A line with 2 endpoints. A piece of a line
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Congruent Segments
Segments of the same length
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Distance
Always a positive measurement
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Irrational Number
Numbers with a decimal
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Distance Formula
Radical (x2-x1)^2 + (y2-y1)^2
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Midpoint Formula
(x1+x2)/2, (y1+y2)/2
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Midpoint
A point in the middle
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Segment Bisector
Cuts a segment in half
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Ray
Continues infinitely to 1 side
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Opposite Rays
2 rays that share an endpoint and travel in opposite directions to form a straight line.
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Side
A side of an angle, also a ray
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Vertex
Shared endpoint of an angle
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Degree
Measurement of an angle
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Right Angle
A 90 degree angle
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Acute Angle
An angle less than 90 degrees
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Obtuse Angle
An angle greater than 90 degrees
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Angle
Formed by 2 rays that share an endpoint
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Interior
Inside
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Exterior
Outside
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Angle Bisector
Cuts and angle in half
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Adjacent Angles
Angles that share a side
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Linear Pair
2 angles that form a straight line
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Vertical Angles
Opposite of each other and rays form an X
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Complementary Angles
2 angles that add up to 90 degrees
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Supplementary Angles
2 angles the add up to 180 degrees
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Perpendicular
2 lines that form a right angle
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Polygon
a closed, sided figure
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Vertex of a Polygon
Where 2 sides of a shape meet
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Concave Shape
When a side is extended and it passes through the interior
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Convex Shape
When a side is extended and does not go through the interior
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Equiangular Polygon
All angles are the same
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Regular Polygon
All angles and sides are the same
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Equilateral Polygon
When all sides are the same
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3 Sides
triangle
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4 Sides
Quadrilateral
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5 Sides
Pentagon
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6 Sides
Hexagon
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7 Sides
Heptagon
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8 Sides
Octagon
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9 Sides
Nonagon
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10 Sides
Decagon
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11 Sides
Hendecagon
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12 Sides
Dodecagon
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13+ Sides
N-gon