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30 Cards in this Set
- Front
- Back
collinear points
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points that lie on the same line
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noncollinear points
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points that do not lie on the same line
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Two ________ determine a unique straight line.
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points
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________ noncollinear points determine a unique ________.
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Three, plane
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A ________ ____________ is a part of a line consisting of two points, called end points, and the set of all points ___________ them.
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line segment, between
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Ruler Postulate
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subtract coordinates of the points and then take the absolute value
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Betweenness of Points
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If F, G, and H are collinear and FG and GH equal FH, then G is between F and H. (F-G-H)
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A ____ is a part of a line consisting of a given point, called the ____ ________, and the set of all points on one side of the end point.
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ray, end point
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An _______ is the union of two rays having the same end point.
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angle
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The end point of an angle is called the ________.
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vertex
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The rays in an angle are called the ______ of the angle.
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sides
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Angles that have equal measures are called ___________ ______.
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congruent angles
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There is a degree measure for every angle from 0-180 degrees and an angle for every degree measure. What postulate is this?
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protractor postulate
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Ray PS is between ray PQ and ray PR; if point S lies in the interior of m< QPR and m<SPR+m<QPS =m<QPR. What definition is this?
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betweenness of rays
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A ______ _______ is an angle with a measure of 90 degrees.
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right angle
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An angle less than 90 degrees is called an _______ angle.
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acute
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An angle that is greater than 90 degrees and less than 180 degrees is called an ________ angle.
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obtuse
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The ___________ of a line segment is the point that _______ the line segment into two congruent line segments.
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midpoint, divides
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A ___________ of line segment AB is any line, ray, or line segment which passes through the ____________ of line segment AB. What definition is this?
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bisector, midpoint ; definition of a bisector
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What definition states that ray OR is the bisector of <PON if R lies in the interior of <PON and m<POR=m<RON?
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definition of an angle bisector
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If equals are added to equals, the results are equal. If a=b, then a+c=b+c. What property is this?
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addition property
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The ____________ property states that if equals are __________ from equals, then the results are equal: a=b, then a-c=b-c
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subtraction, subtracted
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The ____________ property states that if equals are ____________ by equals, their products are equal: a=b, then ac=bc.
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multiplication, multiplied
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If equals are __________ by nonzero equals, their quotients are equal: a=b, then a/c=b/c as long as c does not equal zero. What property does this represent?
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divided, division
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The _____________ property states that if a=b then either a or b may be _____________ for the other in an y equation.
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substitution , substituted
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If a=b and b=c, then a=c. What property does this represent?
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transitive property
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a=a, any quantity is equal to itself. This property is called the ____________ property.
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reflexive
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If a=b, then b=a, the positions of the expressions on either side of an equals sign may be reversed. What property is this?
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symmetric property
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If angles with measures add to 90 degrees, what are they called?
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complementary angles
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If two angles are complementary to the same angle or congruent angles, then they are congruent(=). Is this theorem true or false?
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true
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