ACT Math Vocabulary Review

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Taken from the Princeton Review ACT prep 2023.

Math

ACT

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34 Terms

1
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Area of a circle

πr²

2
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Circumference of a circle equation.

2Ď€r

3
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<p>Supplementary angles</p>

Supplementary angles

Angles that add up to 180 degrees.

4
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<p>Vertical angles</p>

Vertical angles

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

5
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<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.

6
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<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.

7
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term image

The 30-60-90 right triangle.

8
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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.

9
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The length of the medium side of the 30-60-90 triangle is…

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

10
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The length of the hypotenuse of the 30-60-90 triangle is…

twice as long as the length of the short side.

11
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Area of a triangle equation

A = 1/2(bh)

12
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Distance formula

root(x2 - x1)²+(y2-y1)²

13
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Equation of a circle

(x-h)²+(y-k)²=r²

14
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Equation of an eclipse

[(x-h)²/a²]+[(y-k)²/b²]=1

15
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The center of a circle

(h,k)

16
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Cosecant is…

1/sine

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Secant is…

1/cosine

18
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Cotangent is…

1/tangent

19
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Sine theta divided by cos theta is equal to…

tan theta

20
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Sine² theta plus cos² theta is equal to…

1

21
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Quadrant I, angle 90 to angle 0, 360 equal to 0, pi/2 contains…

all positive values.

22
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Quadrant II, angle 90 to angle 180 equal to pi contains…

a positive sine ratio

23
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Quadrant III, angle 180 to angle 270, equal to 3pi/2 contains…

a positive tangent ratio.

24
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Quadrant IV, angle 360 to angle 270, equal to 2pi contains…

a positive cosine ratio

25
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In a unit circle, cosine represents the…

x axis.

26
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In a unit circle, sine represents the…

y axis

27
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logba = x is equal to…

b^x = a

28
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In a vector, i indicates…

horizontal change

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In a vector, j indicates…

vertical change

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Real numbers are…

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

31
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Integers are…

Whole numbers from -infinity to +infinity.

32
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Whole numbers are…

Non decimal numbers from 0 to infinity.

33
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Rational numbers are…

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

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Irrational numbers are…

Real numbers that cannot be written as a fraction.