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32 Cards in this Set
- Front
- Back
adjacent angles
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two angles are adjacent if they share a common vertex and side, but have not common interior points.
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angle
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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.
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biconditional statement
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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.
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collinear
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points, segments, or rays that are on the same line are collinear
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complementary angles
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two angles are complementary if the sum of their mesasures is 90. each angle is a complement of the other.
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conditional statement
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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.
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conclusion
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see conditional statement
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congruent angles
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two angles are congruent if they have the same measures
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congruent segments
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two segments are congruent if they have the same length
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converse
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the converse of a conditional statement is formed by interchanging the hypothesis and conclusion. The converse of p->q is q->p.
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counter example
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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.
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exterior of an angle
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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
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hypothesis
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see conditional statement
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interior of an angle
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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.
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line segment
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a segment AB, consists of the endpoints A and B and all points on AB that lie between A and B
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linear pair
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two adjacent angles are a linear pair if their noncommon sides are opposite rays
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measure of an angle
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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.
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midpoint of a segment
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the midpoint of a segment is the point that divides the segment into two congruent segments.
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obtuse angle
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an obtuse angle is an angle with measure greater than 90 degrees and less than 180 degrees.
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opposite rays
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on the lines AB if C is between A and B, then CA and CB are opposite rays.
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perpendicular
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two lines are perpendicular if they intersect to form a right angle.
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ray
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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
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right angle
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a right angle is an angle with a measure of 90 degrees.
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segment bisector
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a segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint.
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straight angle
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a straight angle is an angle that measures 180.
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supplementary angles
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two angles are supplementary if the sum of their measures is 180 degrees. each angle is a supplement of the other.
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vertical angles
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two angles are vertical if their sides form two pairs of opposite rays.
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alternate exterior angles
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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
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alternate interior angles
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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.
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coincident lines
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the lines which are graphs of two equivalent linear equations are said to be coincident.
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consecutive interior angles
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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.
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contrapositive
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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.
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