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# Semester One Geometry Honors Final

## Terms

undefined, object
copy deck
Inductive reasoning
patterns
space
set of all points
postulate
geometric facts you assume to be true
theorum
geometric facts you PROVE to be true
opposite rays
two collinear rays with one endpoint
Conditional statement
if...then
biconditional
reverseable, statement and converse are true
law of detachment
1. If A is true, then B.
2. A is true.
3. B is true.
Law of Syllogism
If p...q and q...r, then p...r
sum of interior angles
180(n-2)
How much do exterior angles of a convex polygon add up to?
360 degrees
regular polygon
equilateral and equiangular
m of each interior angle in reg. polygon
[180(n-2)]/n or 180-360/n
m ex. angles in reg. polygon
360/n
point slope
y-y1 = m(x - x1)
slope of horizontal lines
0 slope
slope of vertical lines
no slope
no choice theorum
if two angles of one triangle are congruent to two angles of another, then the triangles are congruent
median
seg joining vertex of a triangle and the midpt of its opposite side
centroid
where the three medians intersect, divides median into ratio of 2:1 from vertex to midpt
altitude:
seg drawn from a vertex of a triangle and perp to the line containing the opposite side
~doesn't have to be inside the triangle
~every triangle has 3
~3 alts intersect at vertex of rt triangle
orthocenter
where 3 altitudes intersect
ex. angle theorum
ex. angles r > remotes but <180
two sides of a triangle are....to the third side
a-b<c<a+b

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