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32 Cards in this Set

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adjacent angles
two angles are adjacent if they share a common vertex and side, but have not common interior points.
angle
an angle consists of two different rays that have the same initial point. The rays are the sides of the angle and the initial point is the vertex of the angle.
biconditional statement
the biconditional statement, "p if and only if q", is written as p<->q. This single statement is equivalent to writing the conditional statement p-> and its converse q->p.
collinear
points, segments, or rays that are on the same line are collinear
complementary angles
two angles are complementary if the sum of their mesasures is 90. each angle is a complement of the other.
conditional statement
a conditional statement has the form "if p, then q", which can be written as p->q. p is called the hypothesis and q is called the conclusion.
conclusion
see conditional statement
congruent angles
two angles are congruent if they have the same measures
congruent segments
two segments are congruent if they have the same length
converse
the converse of a conditional statement is formed by interchanging the hypothesis and conclusion. The converse of p->q is q->p.
counter example
an example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled proves that the statement is false. this example is called a counterexample.
exterior of an angle
every nonstraight angle has an exterior. a point D is in the exterior of angle A if it is not on the angle or in the interior of the angle
hypothesis
see conditional statement
interior of an angle
every nonstraight angle has an interior. a point D is in the interior of angle A if it is between points that lie on each side of the angle.
line segment
a segment AB, consists of the endpoints A and B and all points on AB that lie between A and B
linear pair
two adjacent angles are a linear pair if their noncommon sides are opposite rays
measure of an angle
the measure of an angle in degrees is a unique number greater than 0 and less than or equal to 180. angles can be measured with a protractor.
midpoint of a segment
the midpoint of a segment is the point that divides the segment into two congruent segments.
obtuse angle
an obtuse angle is an angle with measure greater than 90 degrees and less than 180 degrees.
opposite rays
on the lines AB if C is between A and B, then CA and CB are opposite rays.
perpendicular
two lines are perpendicular if they intersect to form a right angle.
ray
the ray AB, or AB, consists of the initial point A and all points on AB that lie on the same side of A as B lies
right angle
a right angle is an angle with a measure of 90 degrees.
segment bisector
a segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint.
straight angle
a straight angle is an angle that measures 180.
supplementary angles
two angles are supplementary if the sum of their measures is 180 degrees. each angle is a supplement of the other.
vertical angles
two angles are vertical if their sides form two pairs of opposite rays.
alternate exterior angles
two angles are alternate exterior angles if they lie outside l and m on opposite sides of t, such as angle 1 and angle 7
alternate interior angles
two angles are alternate interior angles if they lie between l and m on opposite sides of t, such as angle 2 and angle 8.
coincident lines
the lines which are graphs of two equivalent linear equations are said to be coincident.
consecutive interior angles
two angles are consecutive interior angles if they lie between l and m on the same side of t, such as angle 2 and angle 5.
contrapositive
the contrapositive of the conditional statement p=>q is ~q=> ~p. the contrapositive of a conditional statement is true if and only if the conditional statement is true.