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philomath_geoma_vocab_cum
cumulative vocabulary for geometry a during 2013-2014 school year
37
Mathematics
10th Grade
09/19/2013

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Term
collinear
Definition
lying on the same line
Term
coplanar
Definition
lying in the same plane
Term
segment
Definition
a part of a line that begins at one point and ends at another
Term
ray
Definition
a part of a line that starts at a point and extends infinitely in one direction
Term
angle
Definition
a figure formed by two rays with a common endpoint
Term
vertex of an angle
Definition
the point in common of the two rays that form an angle
Term
interior of an angle
Definition
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)
Term
exterior of an angle
Definition
the portion of the plane containing an angle that is not in the angle's interior
Term
intersect
Definition
to have one or more points in common
Term
intersection
Definition
the set of all points that two geometric figures have in common
Term
postulate
Definition
a statement that is accepted as true without proof (postulates are also known as axioms)
Term
conditional statement (or conditional)
Definition
a statement that can be written in the form
"if _____ then _____," where the first blank is the hypothesis and second blank is the conclusion
Term
hypothesis
Definition
the phrase following the word "if” in a conditional statement
Term
conclusion
Definition
the phrase following the word "then" in a conditional statement
Term
Euler diagram or Venn diagram
Definition
a diagram that shows the logical relationships among a number of sets
Term
biconditional statement
Definition
a statement using "if and only if"
Term
converse
Definition
the statement formed by switching the hypothesis and conclusion of a conditional statement to form a new conditional statement
Term
contrapositive
Definition
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
Term
deductive reasoning
Definition
the process of drawing conclusions by using logical reasoning in an argument
Term
counterexample
Definition
an example that proves that a statement, often a conjecture, is false
Term
logical chain
Definition
a series of logically linked conditional statements. They are linked because the conclusion of one statement is the hypothesis of the next
Term
congruent
Definition
Having the same size and shape.
Term
degree
Definition
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.
Term
complementary angles
Definition
two angles whose measures have a sum of 90 degrees
Term
supplementary angles
Definition
two angles whose measures have a sum of 180 degrees
Term
right angle
Definition
an angle whose measure is 90 degrees.
Term
acute angle
Definition
an angle whose measure is less than 90 degrees
Term
obtuse angle
Definition
an angle whose measure is more than 90 degrees and less than 180 degrees
Term
straight angle
Definition
An angle formed by two rays that go in opposite directions(This measures 180 degrees and is also known as a line!)
Term
linear pair of angles
Definition
a pair of angles that share a side and form a line
Term
perpendicular lines
Definition
two lines that intersect to form a right angle
Term
parallel lines
Definition
two coplanar lines that do not intersect
Term
conjecture
Definition
A statement that you believe to be true. It is an "educated guess" based on observations.
Term
segment bisector
Definition
a line that divides a segment into two congruent segments
Term
midpoint
Definition
the point that is equidistant from the endpoints of a segment
Term
perpendicular bisector
Definition
a bisector that is perpendicular to a segment
Term
angle bisector
Definition
a line or ray that divides an angle into two congruent angles
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