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19 Cards in this Set
- Front
- Back
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Space
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Space is the set of all points
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collinear
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a set of points are collinear iff they all lie on the same line
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Coplanar
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a set of points are coplanar iff they all lie on the same plane
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Betweeness
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P is between A and B (A-P-B) iff the points are distinct, collinear and AP + PB = AB
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Segment
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Segment AC is a set of points containing A, C, and all points between A and C
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Length of a segment*
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The length of a segment is the distance between it's end points
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Congruent
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Two segments are congruent iff they have the same length.
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Midpoint
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M is the midpoint of segment AB iff A-M-B, and segment AM is congruent to segment MB
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Ray
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Ray AB is a set of points containing segment AB and all points R such that A-B-R
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Opposite Rays
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Ray SR and ray ST are opposite rays iff R-S-T
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Bisector of segment
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The bisector of a segment is any line, point, plane, ray, or segment that intersects the segment at it's midpoint
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Angle
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An angle is the union of any two noncollinear rays with the same endpoint
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Adjacent Angles
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2 angles are adjacent iff they are coplanar, have a common vertex and common side, and no common interior points.
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Angle Addition Postualte
Pt. 1 |
If point W is in angle AOB then the measure of angle 2 + the measure of angle 1 = angle AOB
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Angle Addition Postulate
Pt. 2 |
If A-O-B and point X is not on segement AB then the measure of angle 3 + the measure of Angle 4 = 180
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Acute
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An acute angle has the measure of less than 90 degrees.
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Right
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A right angle has the measure of 90 degrees.
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Obtuse
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An obtuse angle has the measure of greater than 90 degrees.
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Bisector of an angle
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Ray BW is the bisector of angle ABC iff W is in the interior of angle ABC and angle ABW is congruent to angle WBC.
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