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25 Cards in this Set
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congruent polygons

have congruent corresponding parts


congruence statments

[Triangle] ABC [is congruent to] [Triangle] DEF


congruent triangles

2 triangles are congruent if and only if their corresponding parts are congruent (CPCTC)


THIRD ANGLE THEOREM

if 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are congruent.


SSS Postulate

if 3 sides of a triangle are congruent to the 3 sides of another triangle, then the two triangles are congruent


SAS Postulate

if 2 sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent


ASA Postulate

If 2 angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent


AAS THEOREM

If two angles and a nonincluded side of one trianlge are congruent to two angles and the corresponding nonincluded side of another trianlge, then the triangles are congruent.


polygon

a polygon is a closed plane figure with at least 3 sides that are segments such that: the sides intersect exactly 2 other sides only at their endpoint no adjacent sides are collinear


diagonal of polygons

a segment that is drawn from 2 vertices that are not adjacent


convex polygon

has no diagonal with points outside the polygon


concave polygon

has at least 1 diagonal with the points outside the polygon


equilateral polygon

all sides are congruent


equiangular polygon

has all congruent angles


regular polygon

both equilateral and equiangular


POLYGON ANGLE SUM THEOREM (PAST)

The sum of the measure of the angles of a convex ngon is:
*** s = 180(n2) 

POLYGON EXTERIOR ANGLE THEOREM (PEAST)

The sum of the measures of the exterior angles of a convex polygon, one at a vertex, equals 360


standard form of a linear equation

a linear equation can be written in the form Ax + By = C (standard form) where A, B, and C are real numbers and A & B do not equal 0; slope is A/B if in standard form


slope intercept form

a linear equation written in the form y = mx + b


point slope form

y  y1 = m (x  x1) where x1 and y1 are the coordinates of a point on the line and m is the slope


SPECIAL CASE:
Horizontal Lines 
have an equation in the form y = b and a slope of 0


SPECIAL CASE:
Vertical Lines 
have an equation in the form x = a and an undefined slope


slope

The slope of a line is the ratio of its vertical rise to its horizontal run. The slope m of a line containing 2 points with coordinates (x,y) and (x1, y1) is given by the formula:
m = y2y1/x2x1 

Slopes of a Parallel Lines

2 non vertical lines have the same slope if and only if they are parallel


Slopes of Perpendicular Lines

2 nonvertical lines are perpendicular if and only i the product of their slopes equals 1; any horizontal line and vertical line are perpendicular
