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a part of a line that begins at one point and ends at another |
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a part of a line that starts at a point and extends infinitely in one direction |
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a figure formed by two rays with a common endpoint |
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the point in common of the two rays that form an angle |
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the region of a plane that falls between the two rays that form an angle (i.e., If two points, one from each side of an angle, are connected by a segment, the segment will pass through the interior of the angle) |
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the portion of the plane containing an angle that is not in the angle's interior |
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to have one or more points in common |
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the set of all points that two geometric figures have in common |
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a statement that is accepted as true without proof (postulates are also known as axioms) |
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conditional statement (or conditional) |
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a statement that can be written in the form "if _____ then _____," where the first blank is the hypothesis and second blank is the conclusion |
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the phrase following the word "if” in a conditional statement |
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the phrase following the word "then" in a conditional statement |
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Euler diagram or Venn diagram |
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a diagram that shows the logical relationships among a number of sets |
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a statement using "if and only if" |
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the statement formed by switching the hypothesis and conclusion of a conditional statement to form a new conditional statement |
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the statement formed by switching the hypothesis and conclusion of a conditional statement to form a new conditional statement and then negating both the hypothesis and conclusion |
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the process of drawing conclusions by using logical reasoning in an argument |
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an example that proves that a statement, often a conjecture, is false |
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a series of logically linked conditional statements. They are linked because the conclusion of one statement is the hypothesis of the next |
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Having the same size and shape. |
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The most common unit of angle measure. When an angle spanning a half circle is divided into 180 equal parts, one of those parts measure has this measure. |
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two angles whose measures have a sum of 90 degrees |
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two angles whose measures have a sum of 180 degrees |
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an angle whose measure is 90 degrees. |
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an angle whose measure is less than 90 degrees |
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an angle whose measure is more than 90 degrees and less than 180 degrees |
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An angle formed by two rays that go in opposite directions(This measures 180 degrees and is also known as a line!) |
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a pair of angles that share a side and form a line |
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two lines that intersect to form a right angle |
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two coplanar lines that do not intersect |
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A statement that you believe to be true. It is an "educated guess" based on observations. |
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a line that divides a segment into two congruent segments |
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the point that is equidistant from the endpoints of a segment |
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a bisector that is perpendicular to a segment |
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a line or ray that divides an angle into two congruent angles |
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