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WorksheetsGeometry SOL Review
Total questions: 77
Worksheet time: 40mins
midpoint formula
(x2−x1)2+(y2−y1)2
(2x1+x2,2 y1+y2)
x2−x1y2−y1
a2+b2=c2
distance formula
(x2−x1)2+(y2−y1)2
(2x1+x2,2 y1+y2)
x2−x1y2−y1
a2+b2=c2
slope formula
(x2−x1)2+(y2−y1)2
(2x1+x2,2 y1+y2)
x2−x1y2−y1
a2+b2=c2
Pythagorean theorem
(x2−x1)2+(y2−y1)2
(2x1+x2,2 y1+y2)
x2−x1y2−y1
a2+b2=c2
slope formulas
runrise
right and leftdown and up
left and rightup and down
riserun
parallel line slope
same slope (same rise over run)
same slope (same run over rise)
negative reciprocal slope (flip and negate)
negative slope (flip and negate)
perpendicular line slope
same slope (same rise over run)
same slope (same run over rise)
negative reciprocal slope (flip and negate)
negative slope (flip and negate)
logic
conditional
p --> q
q --> p
~p --> ~q
~q --> ~p
logic
converse
p --> q
q --> p
~p --> ~q
~q --> ~p
logic
inverse
p --> q
q --> p
~p --> ~q
~q --> ~p
logic
contrapositive
p --> q
q --> p
~p --> ~q
~q --> ~p
Logic
if... then...
-->
<-->
^
V
Logic
if and only if
-->
<-->
^
V
Logic
and
-->
<-->
^
V
Logic
or
-->
<-->
^
V
Logic
so
∴
~
^
V
Logic
not
∴
~
^
V
what does this image represent?
alternate interior
alternate exterior
corresponding
sameside and consecutive
what does this image represent?
alternate interior
alternate exterior
corresponding
sameside and consecutive
what does this image represent?
alternate interior
alternate exterior
corresponding
sameside and consecutive
what does this image represent?
alternate interior
alternate exterior
corresponding
sameside/ consecutive
what things are congruent (equal each other)
alternate interior
alternate exterior
corresponding
sameside/ consecutive
what things are supplementary (equal to 180)
alternate interior
alternate exterior
corresponding
sameside/ consecutive
sum of interior angles
(n−2)⋅180
360
n(n−2)⋅180
n360
sum of exterior angles
(n−2)⋅180
360
n(n−2)⋅180
n360
one interior angle
(n−2)⋅180
360
n(n−2)⋅180
n360
one exterior angle
(n−2)⋅180
360
n(n−2)⋅180
n360
what congruent triangle theorem represent?
SSS
SAS
ASA
what congruent triangle theorem represent?
SSS
SAS
ASA
what congruent triangle theorem represent?
SSS
SAS
ASA
what congruent triangle theorem represent?
AAS
HL
CPCTC
what congruent triangle theorem represent?
AAS
HL
CPCTC
what are the similar triangle theorems?
(a)
what is the exterior angle theorem?
m<1 + m<2 = m<3
a + b > c
what makes a triangle?
m<1 + m<2 = m<3
a + b > c
what makes a right triangle?
c2=a2+b2
c2 < a2+b2
c2 >a2+b2
what makes an acute triangle?
c2=a2+b2
c2 < a2+b2
c2 >a2+b2
what makes an obtuse triangle?
c2=a2+b2
c2 < a2+b2
c2 >a2+b2
how do you find the range of the third side of a triangle?
a - b < c < a + b
b - a < b - a
what is area of a sector?
πr2(360°)
2πr(360°)
rπ2(360°)
rπ2(360°)
what is the length of an arc?
πr2(360°)
2πr(360°)
rπ2(360°)
rπ2(360°)
what is SOH?
opposite over hypotenuse
adjacent over hypotenuse
opposite over adjacent
what is CAH?
opposite over hypotenuse
adjacent over hypotenuse
opposite over adjacent
what is TOA?
opposite over hypotenuse
adjacent over hypotenuse
opposite over adjacent
what do you type into Desmos to get the formula for SOH, CAH, TOA?
(a)
midsegment formula
EF =2 BC + AD
EF = 2AD − BC
AD = 2EF − BC
EF = 2BC − AD
what does this picture represent?
copy a line segment
perpendicular bisector
angle bisector
perpendicular line passing through a point on the given line
what does this picture represent?
copy a line segment
perpendicular bisector
angle bisector
perpendicular line passing through a point on the given line
what does this picture represent?
copy a line segment
perpendicular bisector
angle bisector
perpendicular line passing through a point on the given line
what does this picture represent?
copy a line segment
perpendicular bisector
angle bisector
perpendicular line passing through a point on the given line
what does this picture represent?
perpendicular line passing through a point NOT on the given line
equilateral triangle.... parallel lines
square inscribed in a circle
hexagon inscribed in a circle
what does this picture represent?
perpendicular line passing through a point NOT on the given line
equilateral triangle.... parallel lines
square inscribed in a circle
hexagon inscribed in a circle
what does this picture represent?
perpendicular line passing through a point NOT on the given line
equilateral triangle.... parallel lines
square inscribed in a circle
hexagon inscribed in a circle
what does this picture represent?
perpendicular line passing through a point NOT on the given line
equilateral triangle.... parallel lines
square inscribed in a circle
hexagon inscribed in a circle
central angle equals what?
angle = arc
angle = 1/2 (arc)
angle = 1/2 (arc1 + arc2)
angle = 1/2 (far arc - near arc)
inscribed angle equals what?
angle = arc
angle = 1/2 (arc)
angle = 1/2 (arc1 + arc2)
angle = 1/2 (far arc - near arc)
inside angle equals what?
angle = arc
angle = 1/2 (arc)
angle = 1/2 (arc1 + arc2)
angle = 1/2 (far arc - near arc)
vertex outside angle equals what?
angle = arc
angle = 1/2 (arc)
angle = 1/2 (arc1 + arc2)
angle = 1/2 (far arc - near arc)
central angle equals?
x°=y°
x=21y
x=21(y°+z°)
x=21(z°−y°)
inscribed angle equals?
x°=y°
x=21y
x=21(y°+z°)
x=21(z°−y°)
inside angle equals?
x°=y°
x=21y
x=21(y°+z°)
x=21(z°−y°)
vertex outside angle equals?
x°=y°
x=21y
x=21(y°+z°)
x=21(z°−y°)
what formula matches the picture?
xy = wz
(x + y) x = (w + z) * w
x^2 = (y + z) * y
x = y
what formula matches the picture?
xy = wz
(x + y) * x = (w + z) * w
x^2 = (y + z) * y
x = y
what formula matches the picture?
xy = wz
(x + y) * x = (w + z) * w
x^2 = (y + z) * y
x = y
what formula matches the picture?
xy = wz
(x + y) * x = (w + z) * w
x^2 = (y + z) * y
x = y
what is the formula for the circle equation?
(x - h)^2 + (y - k)^2 = r^2
(h - x)^2 + (k - y)^2 = r^2
(x + h)^2 - (y + k)^2 = r^2
reflection equals what?
flip
turn
shift/move
enlarge/reduce
rotation equals what?
flip
turn
shift/move
enlarge/reduce
translation equals what?
flip
turn
shift/move
enlarge/reduce
dilation equals what?
flip
turn
shift/move
enlarge/reduce
if you reflect something on the y axis, you change the sign on the _ axis?
x
6
y
z
if you reflect something on the x axis, you change the sign on the _ axis?
x
6
y
z
what is the equation for a translation?
(x,y) --> (x + a, y + b)
(x,y) --> (x - a, y - b)
(x,y) --> (x + a, y - b)
(x,y) --> (x - a, y + b)
what is the equation for dilation?
(x,y) --> (k * x, k * y)
(x,y) --> (k + x, k * y)
(x,y) --> (k - x, k - y)
(x,y) --> (k + x, k + y)
what is the law of detachment equation?
p --> q
p OVER
so q
p --> q
q --> r OVER
so p --> r
p --> q OVER p --> r
what is the law of syllogism equation?
p --> q
p OVER
so q
p --> q
q --> r OVER
so p --> r
p --> q OVER p --> r
