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28 Cards in this Set
- Front
- Back
- 3rd side (hint)
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deductive reasoning
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takes known info to get to next step, each fact leads to next conclusion
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known to next
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inductive reasoning
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base hypothesis on what is seen so far
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hypothesis
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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 om geometry
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theory
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idea that has to be proven or justified
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Postulate (a)
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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 (b)
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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 (c)
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If 2 planes intersect, they intersect at exacly one line
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plane intersection
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Postulate (d)
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Through any 3 noncollinear points there is exactly 1 plane
(three noncollinear 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 collionear 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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noncoplanar 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 visa 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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Protractor Postulate
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If you look at all the possible angle measures between 0 and 180 and all the possible sized angles between a ray folded onto itself and a pair of opposite rays, there will be a 1 to 1 correspondence between the angle measures and the angles themselves
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Angle Addition Postulate
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If a point B is in the interior of <AOC then m<AOB + m<BOC = m<AOC
If <AOC is a straight angle then m<AOB+m<BOC =180 |
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Congruent Angles
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angles with the same measure
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constructions
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a way to create geometric objects using a straightedge and a compass
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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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