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37 Cards in this Set
- Front
- Back
Undefined Terms |
Words, usually readily understood, that are not formally explained by means of more basic words and concepts. The basic undefined terms of geometry are point, line, and plane. |
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point |
A location; has no shape or size. |
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Line |
Made of points; no thickness/width |
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plane |
flat surface |
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collinear |
points on the same line |
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coplanar |
points on the same plane |
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intersection |
Objects cross at a common point, line, or plane. |
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Space |
a boundless, three-dimensional set of all points |
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Line Segment |
Part of a line with two endpoints. |
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betweenness of points |
For any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + BC = AB. |
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between |
For any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + BC = AB. |
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congruent segments |
Line Segments are equal. |
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ray |
part of a line; one endpoint. |
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opposite rays |
Two rays with a common endpoint; forms a straight line. |
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Angle |
created by two noncollinear rays with one common endpoint |
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sides |
The rays of an angle |
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vertex |
common endpoint of an angle |
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interior |
a point is in the interior of an angle if it does not lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angle. |
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exterior |
a point is in the exterior of an angle if it is neither on the angle nor in the interior of the angle. |
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degree |
A unit of measure used in measuring angles and arcs. |
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right angle |
angle in which the measurement is 90 degrees. |
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acute angle |
angle in which the measurement is less than 90 degrees. |
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obtuse angle |
angle in which the measurement is greater than 90 degrees. |
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angle bisector |
Ray that divides an angle into two equal halves. |
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adjacent angles |
Two angles that lie in the same plane, have a common vertex and a common side, but no common interior points. |
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linear pair |
2 angles that create a straight line |
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vertical angles |
nonadjacent angles created by two intersecting lines; congruent. |
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complementary angles |
two angles with measures that have a sum of 90 degrees. |
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supplementary angles |
two angles with measures that have a sum of 180 degrees. |
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perpendicular lines |
2 intersecting lines that make a 90 degree angle. |
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inductive reasoning |
reasoning that requires a number of specific examples to arrive at a conclusion. |
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conjecture |
educated guess |
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counterexample |
example that makes the conjecture false |
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deductive reasoning |
process of using logic to draw conclusions from given facts, definitions, rules, laws & properties. |
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valid |
correct |
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Law of Detachment |
(1)If H then C (2)If H is true (3)C must be true |
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Law of Syllogism |
(1)If p->q and (2)q->r are true statements, then (3)p->r is a true statement. |