Cornelison - Chapter 1 Vocabulary
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each of the black spaces below before clicking
on it to display the answer.
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| GEOMETRY | the branch of mathematics that is concerned with the properties and relationships of points, lines, angles, curves, surfaces, and solids; it literally means “to measure the earth”
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| POSTULATE or AXIOM | a set of universally accepted statements
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| DEDUCTIVE REASONING or LOGICAL REASONING | the process of demonstrating that if certain statements are accepted as true, then other statements can be shown to follow from them
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| THEOREM | a statement that has been proved
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| COMPASS | an instrument used to draw circles
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| INDUCTIVE REASONING | the process of observing data, recognizing patterns, and making generalizations from the observations
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| CONJECTURE | the generalization a mathematician makes when using inductive reasoning
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| COUNTEREXAMPLE | a case that proves the conjecture wrong
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| POINT, LINE, AND PLANE | the three undefined terms in geometry
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| COLLINEAR | points that lie on the same line
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| COPLANAR | points and lines that lie in the same plane
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| RAY | part of a line that consists of a point (initial point) and all the points in one direction
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| OPPOSITE RAYS | two rays that are part of the same line, have the same initial point, and go in opposite directions
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| LINE SEGMENT | part of a line that consists of two points (endpoints) and all the points between them that lie on the line containing the two points
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| MIDPOINT | the point in the middle of the segment
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| ANGLE | two rays that share a common endpoint, provided the two rays do not lie on the same line
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| VERTEX | the common endpoint of the two rays that form an angle
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| ANGLE BISECTOR | a ray (or segment) that has an endpoint on the vertex of the angle and that divides the angle into two adjacent, congruent angles
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| COMPLEMENTARY ANGLES | two angles whose measures add to 90 degrees
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| SUPPLEMENTARY ANGLES | two angles whose measures add to 180 degrees
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| ADJACENT ANGLES | two angles in the same plane that have a common side, a common vertex, but no common interior points
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| LINEAR PAIR | two adjacent angles whose noncommon sides form opposite rays
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| VERTICAL ANGLES | two nonadjacent angles formed by intersecting lines
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| SEGMENT BISECTOR | a line that passes through the midpoint of a segment
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| CIRCUMFERENCE | the distance around a circle
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| AREA | the measure of the region enclosed by a plane figure
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| PERIMETER | the distance around a polygon
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| CONDITIONAL STATEMENT | a statement written in “if-then” form
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| HYPOTHESIS | the “if” part of a conditional
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| CONCLUSION | the “then” part of a conditional
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| PERPENDICULAR LINES | coplanar lines that never intersect
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| CONVERSE | the statement formed by switching the hypothesis and conclusion of a conditional statement
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| BICONDITIONAL STATEMENT | a statement that contains the phrase “if and only if”
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Created by:
bcornelison
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