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Geometry Regents
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Gravity
Terms in this set (35)
Quadrilateral
4 sided polygon
sum of interior angles 360
Trapezoid
at least 1 pair of // sides
Isosceles trapezoid
each pair of base angles are con.
diagonals are con.
one pair of sides con., the legs (not the // sides which are called bases)
Rectangle
all angels are right angles
diagonals are con.
square
all angels are right angels
diagonals are con
all sides con
diagonals perp.
diagonals bisect opp angels
rhombus
all sides con
diagonals bisect opposite angels
parallelogram
opposite sides are //
opposite sides are con.
opposite angels are con.
consecutive angels =180
diagonals bisect each other
Triangle exterior angels
= sum of 2 non adjacent interior interior angels
colinear
on the same line
// lines
same slope
perp. lines
neg. recip. slope
r x-axis (X, Y) =
(x,-y)
r y-axis (X,Y)=
(-X,Y)
r origin (X,Y)=
(-x,-y)
Similar triangles
AA SSS SAS
Dilation
NOT A RIGID MOTION NOT A ISOMETRY
// lines cut by a transversal
corresponding angles are con.
alternate interior angles are con.
alternate exterior angles are con
interior angels on the same side are supplementary
coordinate geometry proofs
slope formula:
-// lines
-perp. lines
-right angel
cavalieris principle
if 2 solids have the same height and the same cross sectional area at every level they have the same volume
Geometric mean theorems ( alt )
the altitude is the geometric mean between the 2 segments of the hypotenuse
Geometric mean theorems (leg)
the leg is the geometric mean between the segment it touches and the whole hypotenuse
side splitter theorem
a line drawn // to any of the sides of a triangles divides the other 2 sides proportionally
circles central angle
= arc
circles inscribed angle
= 1/2 arc
circles 2 chords with vertical angels
=arc1+arc2 / 2 (divided by 2)
circles tangent-chord angel
=1/2 arc
circles angle inscribes in semicircle and tangent radius angel
=90 deg.
2 intersecting chords
ab=cd
2 secants
outside(whole)=(outside)(whole)b
1 tangent 1 secant
(outside)(whole) =(tangent) squared
2 tangents
congruent
slope intercept
y=mx+b
angel of depression
is the angel formed by the horizontal and a line of sight to a lower position
y - intercept
b
m
slope
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