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32 Cards in this Set
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 Back
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.
