If you rotate a point 90° about the origin, you find your new ordered pair using

\left(x,y\right)→\left(-y,x\right)

Formula for population density

density=\frac{total_{ }people}{land_{ }area}

If you rotate a point 270° about the origin, you find your new ordered pair using

\left(x,y\right)→\left(y,-x\right)

Probability of Independent Events

P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right)

Formula for arc length

\frac{arcmeasure}{360\degree}\cdot2\pi r

If you rotate a point 180° about the origin, you find your new ordered pair using

\left(x,y\right)→\left(-y,-x\right)

If you reflect an object over the line y=-x, you find your new ordered pair using

\left(x,y\right)→\left(-y,-x\right)

The equation of a circle with center \left(-3,2\right) and radius = 3 is

\left(x+3\right)^2+\left(y-2\right)^2=9

If you reflect an object over the line y=x, you find each new ordered pair using

\left(x,y\right)→\left(y,x\right)

Probability of Dependent Events

\left(P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right|A\right)

Formula for area of a sector

\frac{arcmeasure}{360\degree}\cdot\pi r^2

Probability of Overlapping Events

P\left(AorB\right)=P\left(A\right)+P\left(B\right)-P\left(AandB\right)

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Geometry EOC Formulas

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Answers

1
If you rotate a point 90° about the origin, you find your new ordered pair using
\left(x,y\right)→\left(-y,x\right)
\left(x,y\right)→\left(y,x\right)
\left(x,y\right)→\left(y,-x\right)
(x,y)→\left(-x,-y\right)
2
Formula for population density
density=\frac{land_{ }area}{total_{ }people}
density=\frac{total_{ }people}{land_{ }area}
3
If you rotate a point 270° about the origin, you find your new ordered pair using
\left(x,y\right)→\left(y,x\right)
\left(x,y\right)→\left(-y,x\right)
(x,y)→\left(-x,-y\right)
\left(x,y\right)→\left(y,-x\right)
4
Probability of Independent Events
P\left(AorB\right)=P\left(A\right)+P\left(B\right)-P\left(AandB\right)
P\left(AorB\right)=P\left(A\right)\cdot P\left(B\right)
\left(P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right|A\right)
P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right)
5
Formula for arc length
\frac{arcmeasure}{360\degree}\cdot\pi r^2
\frac{arcmeasure}{360\degree}\cdot2\pi r
6
The scale factor, k, of similar figures is
\frac{image}{preimage}
\frac{preimage}{image}
7
Formula for the density of an object
Density=Mass\times Volume
Mass=\frac{Density}{Volume}
Volume=\frac{Density}{Mass}
Density=\frac{mass}{volume}
8
Pythagorean Theorem
a+b=c
a^2+b^2=c^2
9
If you rotate a point 180° about the origin, you find your new ordered pair using
\left(x,y\right)→\left(y,x\right)
\left(x,y\right)→\left(-y,-x\right)
\left(x,y\right)→\left(x,y\right)
(x,y)→\left(-x,-y\right)
10
Formula for slope
m=\frac{_{y_2-y_1}}{x_2-x_1}
m=\frac{y_2-y_1}{x_1-x_2}
m=\frac{x_2-x_1}{y_2-y_1}
m=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}
11
If you reflect an object over the line y=-x, you find your new ordered pair using
\left(x,y\right)→\left(y,x\right)
\left(x,y\right)→\left(x,y\right)
\left(x,y\right)→\left(-y,-x\right)
\left(x,y\right)→\left(-x,-y\right)
12
The equation of a circle with center \left(-3,2\right) and radius = 3 is
\left(x-3\right)^2+\left(y-2\right)^2=3
\left(x+3\right)^2+\left(y-2\right)^2=3
\left(x-3\right)^2+\left(y+2\right)^2=9
\left(x+3\right)^2+\left(y-2\right)^2=9
13
If you reflect an object over the line y=x, you find each new ordered pair using
\left(x,y\right)→\left(-y,-x\right)
\left(x,y\right)→\left(x,y\right)
\left(x,y\right)→\left(y,x\right)
\left(x,y\right)→\left(-x,-y\right)
14
Probability of Dependent Events
P\left(AorB\right)=P\left(A\right)\cdot P\left(B\right)
P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right)
P\left(AorB\right)=P\left(A\right)+P\left(B\right)-P\left(AandB\right)
\left(P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right|A\right)
15
Formula for area of a sector
\frac{arcmeasure}{360\degree}\cdot\pi r^2
\frac{arcmeasure}{360\degree}\cdot2\pi r
16
Probability of Overlapping Events
P\left(AorB\right)=P\left(A\right)+P\left(B\right)-P\left(AandB\right)
P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right)
\left(P\left(AandB\right)=P\left(A\right)\cdot P\left(B\right|A\right)
P\left(AorB\right)=P\left(A\right)\cdot P\left(B\right)

Geometry EOC Formulas Flashcards | StudBud