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| a specific location in space |
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| an infinite propagation of consecutive points extending in both directions |
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| subset of aline that contains 2 end points and all points between those two points |
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| subset of a line that contains the endpoint and all points on the line on one side of the point |
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| flat, 2D surface extending infinitely in all directions |
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| 2 distinct coplanar lines that have no points in common |
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| lines that do not intersect and there is no place that contains them |
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| the union of 2 rays with a common endpoint |
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| angles that share a common vertext and side and do not have overlapping interiors |
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| polygonal curve (polygon) |
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| simple closed curve composed of line segments |
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| polygons in which all the interior angles are congruent and all sides are congruent |
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| a line segment connecting non-consecutive vertices of a polygon |
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| a rectangle with 2 adjacent sides congruent (or, a quadrilateral with 4 riht angles and 4 congruent sides) |
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companion angle whose measure is greater than 180
(for example, the regular angle is 120, the reflex angle would be 240, makes a complete circle, equals 360) |
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| angles whose sum of measure is 180 (or, angles whose union produces a straight line) |
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| angles whose sum of measure is 90 |
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angles which...
1. are formed by 2 intersecting lines
2. share a vertex
3. do not share a side |
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given
prove
proof
justification |
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- addition property of equations (if a=b then a+c=b+c)
- subtraction property of equations (if a=b then a-c=b-c)
- substituion property of equations (if a=b then each may be a substitute for another) |
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| addition property of equations |
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| subtraction property of equations |
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| substitution property of equations |
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| if a=b then each may be a substitute for another |
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1 / 2
------
3 / 4
5 / 6
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7 / 8
external angles: 1, 2, 7, 8
alternate exterior: (1, 8), (2, 7)
alternate interior: (3, 6), (4, 5)
corresponding: (1, 5), (2, 6), (3, 7), (4, 8) |
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| a closed 3D shape made of surfaces and an interior |
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| a solid whose surfaces are polygons |
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| each polygonal surface region (bases, lateral faces) |
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| intersection of at least 3 faces |
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| intersection of exactly 2 faces |
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| Platonic solids (regular solid polyhedra) |
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cube
tetrahedron
octahedron
dodecahedron
icosahedron |
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| How many lines can be drawn through N points, no 3 of which are collinear? |
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| Sum of interior angles of an n-gon? |
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| Sum of exterior angles of an n-gon? |
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| Determine the number of diagonals in an n-gon. |
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