Chapter 1 = distant, Planes, Segments, Angles, Postulates + Theorems
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
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| Equally distant. | Equidistant
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| A location that has no length, width, and thickness. (Labeled + named with capital letter) | Point
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| An infinite set of points that extends in two directions. (Named by lowercase letter or two points on line) | Line
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| An infinite set of points that creates a flat surface and extends without ending. (Named by capital letter or vertices) | Plane
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| A plane that has its two longest sides going left and right. | Horizontal plane
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| A plane that has its two longest sides going up and down. | Vertical plane
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| The set of all points. | Space
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| Points on the same line. | Collinear
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| Points not on the same line. | Noncollinear
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| Points in the same plane. | Coplanar
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| Points not in the same plane. | Noncoplanar
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| The set of points in both figures. | Intersection
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| This is named by giving its endpoints. | Segment
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| This is named by giving its endpoint and another point on it. (Endpoint always comes first) | Ray
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| Rays that share a common endpoint, but go off in opposite directions. | Opposite rays
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| Another word for distance. | Length
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| The length of a segment on a number line can be found by finding the absolute value of the difference of its endpoints' coordinates. The length must be positive. | Ruler Postulate
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| If point B is between points A and C on segment AC, then the segment AB added to the segment BC can get you the length of segment AC. | Segment Addition Postulate
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| Having the same size and shape. | Congruent
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| This divides a segment into two congruent segments. | Midpoint of a segment
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| A line, segment, ray, or plane that intersects a segment at its midpoint. | Bisector of a segment
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| A figure formed by two rays with the same endpoint. | Angle
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| The two rays that make and angle. | Sides of an angle
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| The point where the two rays meet to make an angle. | Vertex of an angle
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| The degrees of an angle. | Measure of an angle
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| You can find the measure in degrees of an angle by using a protractor to find the absolute value of the difference of the sides of the angle. | Protractor Postulate
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| An angle that is greater than 0 and less than 90. | Acute angle
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| An angle that is greater than 90 and less than 180. | Obtuse angle
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| An angle that is exactly 90 degrees. | Right angle
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| An angle that is exactly 180 degrees. | Straight angle
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| If a point D lies in the interior of an angle ABC, then the measure of angle ABD added to the measure of angle DBC is the measure of angle ABC. | Angle Addition Postulate
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| Two angles with equal measures. | Congruent angles
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| The ray that divides an angle into two congruent angles. | Bisector of an angle
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| Coplanar angles with a common vertex and a common side, but no common interior points. | Adjacent angles
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| A basic assumption accepted without proof. | Postulate
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| A statement that can be proved using postulates, definitions, and previously proved versions of this. | Theorem
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| There is at least one. | Exists
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| There is no more than one. | Unique
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| Exactly one. | One and only one
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| To define or specify. | Determine
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| Two relationships between two lines in the same plane. | Parallel or intersect at one point
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| Three relationships between a line and a plane. | Parallel, intersect at one point, or plane contains line
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| Two relationships between two planes. | Parallel or intersect in a line
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| A line contains at least two points; a plane contains at least three noncollinear points; space contains at least four noncoplanar points. | Postulate 5
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| Through any two points there is exactly one line. | Postulate 6
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| Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane. | Postulate 7
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| If two points are in a plane, then the line that contains the points is in that plane. | Postulate 8
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| If two planes intersect, then their intersection is a line. | Postulate 9
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| If two lines intersect, then they intersect in exactly one point. | Theorem 1-1
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| Through a line and a point not in the line there is exactly one plane. | Theorem 1-2
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| If two lines intersect, then exactly one plane contains the lines. | Theorem 1-3
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Created by:
LOSBH47
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