ACT Math Vocabulary Review

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Area of a circle

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Taken from the Princeton Review ACT prep 2023.

Math

ACT

34 Terms

1

Area of a circle

πr²

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2

Circumference of a circle equation.

2πr

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3
<p>Supplementary angles</p>

Supplementary angles

Angles that add up to 180 degrees.

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4
<p>Vertical angles</p>

Vertical angles

Angles that are opposite from each other and always equal each other.

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5
<p>A 3-4-5 triangle and it’s multiples (6-8-10, 9-12-15, 15-20-25) can only be used on…</p>

A 3-4-5 triangle and it’s multiples (6-8-10, 9-12-15, 15-20-25) can only be used on…

Right triangles.

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6
<p>The 45-45-90 triangle with two equivalent side lengths and a hypotenuse that equals the side length times root 2 is called…</p>

The 45-45-90 triangle with two equivalent side lengths and a hypotenuse that equals the side length times root 2 is called…

Isosceles right triangle.

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7
term image

The 30-60-90 right triangle.

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8

The length of the short side of the 30-60-90 triangle is…

half the length of the hypotenuse; the hypotenuse is twice as long.

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9

The length of the medium side of the 30-60-90 triangle is…

equal to the length of the short side times root 3.

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10

The length of the hypotenuse of the 30-60-90 triangle is…

twice as long as the length of the short side.

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11

Area of a triangle equation

A = 1/2(bh)

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12

Distance formula

root(x2 - x1)²+(y2-y1)²

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13

Equation of a circle

(x-h)²+(y-k)²=r²

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14

Equation of an eclipse

[(x-h)²/a²]+[(y-k)²/b²]=1

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15

The center of a circle

(h,k)

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16

Cosecant is…

1/sine

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17

Secant is…

1/cosine

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18

Cotangent is…

1/tangent

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19

Sine theta divided by cos theta is equal to…

tan theta

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20

Sine² theta plus cos² theta is equal to…

1

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21

Quadrant I, angle 90 to angle 0, 360 equal to 0, pi/2 contains…

all positive values.

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22

Quadrant II, angle 90 to angle 180 equal to pi contains…

a positive sine ratio

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23

Quadrant III, angle 180 to angle 270, equal to 3pi/2 contains…

a positive tangent ratio.

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24

Quadrant IV, angle 360 to angle 270, equal to 2pi contains…

a positive cosine ratio

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25

In a unit circle, cosine represents the…

x axis.

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26

In a unit circle, sine represents the…

y axis

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27

logba = x is equal to…

b^x = a

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28

In a vector, i indicates…

horizontal change

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29

In a vector, j indicates…

vertical change

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30

Real numbers are…

Numbers that can be represented IRL. ex: 1, 2, .5, 10, 4

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31

Integers are…

Whole numbers from -infinity to +infinity.

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32

Whole numbers are…

Non decimal numbers from 0 to infinity.

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33

Rational numbers are…

Numbers that can be represented as a fraction, including integers and repeating decimals.

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34

Irrational numbers are…

Real numbers that cannot be written as a fraction.

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