Geometry: Second Semester Review Flashcards

(38 cards)

0
Q

Combinations

A

A selection of items in which ORDER IS NOT IMPORTANT. The number of combinations of (n) taken at a time (r.)

nCr=n!/r!(n-r)!

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1
Q

Permutations

A

An ordered selection of (r) elements from the sent of (n) elements.

nPr=n!/(n-r)!

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2
Q

SIN

A

Opposite/Hypotenuse

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3
Q

COS

A

Adjacent/Hypotenuse

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4
Q

TAN

A

Opposite/Adjacent

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5
Q

In Trig. (SIN/COS/TAN), What do you use if you DO NOT know the angle?

A

Inverse SIN/COS/TAN

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6
Q

List the families of right angles

A
3-4-5
5-12-13
7-24-25
8-15-17
30-60-90
45-45-90
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7
Q

Diagonal of a CUBE

A

edge•√2

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8
Q

Opposite of 30°

A

x

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9
Q

Opposite of 60°

A

x√3

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10
Q

Opposite of 90°

A

2x

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11
Q

Pythagorean Theorem

A

a^2+b^2=c^2

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12
Q

The distance formula is

A

d^2= √(x2-x1)^2+(y1-y2)^2

√d=distance

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13
Q

To find the diagonal of a shape…

A

By using the pythagorean theorem

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14
Q

When you raise an angle UP from a horizontal line its called

A

Angle of Elevation

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15
Q

When you lower an angle from a horizontal line its called

A

Angle of Depression

16
Q

Lateral Surface Area (LSA)

A

The sum of the areas of the LATERAL FACES ONLY

17
Q

Total Surface Area (TSA)

A

The sum of the lateral surface area & the area of the 2 congruent bases

18
Q

Point Slope Form

A

y2-y1=m(x1-x2)

19
Q

Slope formula

A

y2-y1/x2-x1

or

rise/run

20
Q

Slope intercept form

21
Q

The measure of an arc

A

Equal to the number of degrees it occupies

22
Q

Length of an arc (l)

A

A fraction of the circles circumference

fraction•pie•d

23
Q

Measure of the central angle

A

The measure of the intercepted arc

24
Sector of a Circle
a region bounded by 2 radii & an arc. Is a fraction of a circles area. (arc measure/360)(pie r^2)
25
Measure of the inscribed angle
HALF the measure of the intercepted arc
26
Inscribed Angle
An angle whose vertex is on the circle
27
If a radius of a circle BISECTS a chord, then it is _________.
Perpendicular
28
If a radius is PERPENDICULAR to a chord, then it _______ the chord.
Bisects
29
If a parallelogram is inscribed in a circle, it must be a ______.
Rectangle
30
If a parallelogram is inscribed in a circle, then its opposite angles are ___________.
Supplementary
31
Law of Large Numbers
If you repeat an experiment enough, the results will get closer to the theoretical value.
32
Complement of an event
The chance of an event NOT happening
33
Theoretical Probability
number of favorable outcomes/total number of POSSIBLE OUTCOMES
34
Experimental Probability
number of times event HAS OCCURED/total number of trials
35
Fundamental Counting Principle
number of ways event A can occur (m) • number of ways event B can occur (n) m•n=number of ways both can occur
36
Sample space
All the possible outcomes
37
Two-Way Frequency Table
a table used to display the frequencies of data in 2 catagories