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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 n-gon is:
*** s = 180(n-2)
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 = y2-y1/x2-x1
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