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35 Cards in this Set
- Front
- Back
- 3rd side (hint)
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collinear points
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points that are on the same line
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coplanar points
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points that are on the same plane
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space
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set of all points
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postulates (axioms)
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accepted idea in geometry
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theory
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idea that has to be proven or justified
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Postulate 1-1
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through any 2 points there is exactly one line (2 points determine a line)
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collinear points
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Postulate 1-2
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If 2 lines intersect, they intersect at exactly one point
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line intersection
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Postulate 1-3
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If 2 planes intersect, they intersect at exactly one line
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plane intersection
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Postulate 1-4
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Through any 3 non-collinear points there is exactly 1 plane
(three non-collinear points determine a plane) |
noncollinear points
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segment
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a part of a line consisting of 2 endpoints and all the points in between them
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ray
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a part of a line consisting of 1 endpoint and all the points of the line on 1 side of the endpoint
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opposite rays
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2 collinear rays with the same endpoint
opposite rays always form a line |
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parallel lines
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coplanar lines that do not intersect
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skew lines
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non-coplanar lines
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parallel planes
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planes that never meet
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Ruler Postulate:
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If you have a number line, all the points on that line have a 1 to 1 correspondence to the numbers on the line
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congruent
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2 segments of the same length
If _AB is congruent to _CD then AB=CD and if AB=CD then _AB=_CD |
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midpoint
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a midpt. of a segment is a point that divides a segment into 2 congruent segments (or two segments of equal length)
B is the midpt. of _AC if _AB=_BC and B is in between A and C (and vice versa) |
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Segment Addition Postulate
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If A,B,C are collinear and B is between A and C then AB+BC=AC
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angle
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union of 2 rays w/ a common endpt.
the rays are the sides of the angle. The endpt. is the vertex of the angle |
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Angle Addition Postulate
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If a point D is in the interior of <ABC, then <ABD + <DBC = <ABC.
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Congruent Angles
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angles with the same measure
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perpendicular lines
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lines that intersect to form right angles
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perpendicular bisector of a segment
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a line, segment or ray that is perpendicular to a segment at its midpoint
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Right Angle |
An angle with a measure of 90 degrees |
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Acute Angle |
An angle with measure less than 90 degrees |
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Obtuse Angle |
An angle with measure greater than 90, but less than 180. |
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Straight Angle |
An angle with measure equal to 180 degrees |
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Complimentary Angles |
Two angles whose measures have a sum of 90 degrees |
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Supplementary |
Two angles whose measures have a sum 180 degrees |
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Linear Pair |
Two angles who are both Adjacent and Supplementary |
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Adjacent angles |
Two angles who share a common vertex and a common side |
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Vertical Angles |
Two angles whose sides for opposite rays. Two congruent angles created by the intersection of two straight lines. |
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Perimeter |
The distance around the outside of a two dimensional polygon. |
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Area |
The space occupied by a two dimensional figure. |
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