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32 Cards in this Set
 Front
 Back
zero angle

m=0°


right angle

m=90°


obtuse angle

90°<m<180°


straight angle

m=180°


complementary angles

sum of two angles = 90°


supplementary angles

sum of two angles = 180°


adjacent angles

two angles that share a side


linear pair of angles

adjacent angles with noncommon sides forming a line (are opposite rays)


vertical angles

two nonstraight angles are vertical angles iff the union of their sides is two straight lines (angles form an X)


perpendicular

2 segments, rays or lines are perpendicular iff the lines containing them form a right angle


2 perpendicular line theorem

If 2 coplanar lines l and m are each perpendicular to the same line, p, they are parallel to each other.


Perpendicular to parallel line theorem

If a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.


Perpendicular lines and slopes theorem

Two nonvertical lines are perpendicular iff the product of their slopes is 1


Transversal

2 lines intersected by a third line


corresponding angles

any pair of angles in similar locations with respect to a transversal


corresponding angle postulate

a) if two corresponding angles have the same measure, the lines are parallel
b) if two lines are parallel, then the corresponding angles are congruent 

Vertical Angles Theorem

If two angles are vertical angles, then they have equal measures


Linear Pair Theorem

If two angles form a linear pair, then they are supplementary


Addition Property of Equality

If a = b, then a + c = b + c


Reflexive Property of Equality

a=a


Symmetric Property of Equality

If a=b, then b=a


Transitive Property of Equality

If a=b and b=c, then a=c


Multiplication Property of Equality

If a=b, then ac=bc


Transitive Property of Inequality

If a<b and b<c, then a<c


Addition Property of Inequality

If a<b, then a+c<b+c


Multiplication Properties of Inequality

If a<b and c>0, then ac<bc.
If a,b and c<0, then ac>bc. 

Equation to Inequality Property

If a and b are positive numbers and a+b=c, then c>a and c>b. (the whole is greater than its parts)


Substitution Property

If a=b, then a may be substituted for b in any equation.


proof argument for a conditional

a sequence of justified conclusions, starting with the antecedent (numbered 0) and ending with the consequent. [one step  uses definition or theorem]


slope

the slope of the line through (x1,y1) and (x2,y2), with x1≠x2, is (y2y1)/(x2x1)
[change in y values divided by corresponding change in x values]. Slope of horizontal line =0, slope of vertical line is undefined 

Parallel lines and Slopes Theorem

Two nonvertical lines are parallel iff they have the same slope


Transitivity of Parallelism Theorem

In a plance if line l is parallel to line m and line m is parallel to line n, then line l is parallel to line n
