Stepp's PH Geometry Chapter 1 - Tools of Geometry
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Point | A location represented as a small dot, named by a capital letter.
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| Space | Space is defined as the set of all points
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| Line | A series of points that extends in two opposite directions without end.
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| Collinear points | Points that lie on the same line
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| Plane | A flat surface that has no thickness and extends in all directions without end.
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| Coplanar | Points and lines in the same plane.
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| Postulate/Axiom | An accepted statement or fact.
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| Through any two points there is exactly ___line. | one
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| Postulate If two lines intersect, then they intersect in exactly one ____. | point
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| Postulate If two planes intersect, then they intersect in exactly one ___ | line
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| Postulate Through any three noncollinear points there is exactly one ___ | plane
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| Segment | The part of a line consisting of two endpoints and all points between them.
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| Ray | The part of a line consisting of one endpoint and all the points on one side of the endpoint.
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| Opposite Rays | Two collinear rays with the same endpoint; opposite rays always form a line.
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| Parallel Lines | Coplanar lines that do not intersect.
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| Skew Lines | Skew lines are noncoplanar; therefore, they are not parallel and do not intersect.
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| Parallel Planes | Planes that do not intersect, and are not skew.
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| Ruler Postulate | every point has a name.
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| Congruent Segments | Two segments with the same length are congruent (≡) segments.
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| Segment Addition Potulate | part + part = whole
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| Midpoint | A point that divides a segment in two congruent segments.
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| Angle | Two rays with the same endpoint (vertex).
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| Protractor Postulate (Postulate 1.7) Any angle can have only ___ measure at a time | one
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| Acute Angle | 0 < X < 90
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| Right Angle | X = 90
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| Obtuse Angle | 90 < X < 180
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| Straight Angle | X = 180
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| Angle Addition Postulate | part + part = whole
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| Perpendicular Lines | Two lines that intersect to form right angles.
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| Perpendicular Bisector | A line, segment, or ray that is perpendicular to the segment at its midpoint,
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| Angle Bisector | A ray that divides an angle into two congruent angles. Its endpoint is at the vertex.
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| The Pythagorean Thm is used in the ___ | The Distance Formula
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| The Midpoint Formula | (average x, average y)
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| Bisectors always make | twins
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| Perpendicular means | at a right angle
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| If a two lines do not intersect, then they must be ___ or ___ to each other | skew or parallel
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| You can name a line by using any ___ | 2 points on the line
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| When naming an angle, the ____ must be in the middle | vertex
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| Numbers can be ____ but figures can be ____ | equal , congruent
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| A compass is used to copy ____ | distance
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| The three undefined terms of Geometry are ___ | Point, line, and plane
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| 2l + 2w = ____ | Perimeter of a rectangle
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