Geo Flashcards

1
Q

sum of 3 sided polygon

A

180

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2
Q

sum of 4 sided polygon

A

360

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3
Q

sum of 5 sided polygon

A

540

N-2*180

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4
Q

sum of 6 sided polygon

A

720

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5
Q

area of trapezoid

A

(b1+b2)*h/2

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6
Q

Triangle - sum of 2 sides must be > or < 3rd side

difference of 2 sides must be > or < 3rd side

A

>

<

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7
Q

right triangles

3 of them

A

3, 4, 5
8, 15, 17
5, 12, 13

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8
Q

measure of exterior angle =

A

sum of 2 non-adjacent angles

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9
Q

inscribed angle

A

is half of angle that touches center of circle (same arc)

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10
Q

area of rhombus

A

d1*d2/2

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11
Q

inscribed triangle has a side that’s the diameter

A

opposite angle is 90 degrees

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12
Q

maximum area

A

equal sides (square), also gives min perimeter

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13
Q

area of equilateral triangle

A

s^2 rt 3 / 4

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14
Q

2 similar triangles with ratio of a:b

A

area ratio is a^2 : b^2

Applies to any polygon!

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15
Q

diagonal of a square

A

x rt 2

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16
Q

diagonal of a cube

A

x rt 3

17
Q

surface area of a cylinder

A

2pi r^2 + 2pirh

18
Q

midpoint btwn 2 points (x1,y1) and (x2,y2)

A

(x1+x)/2, (y1+y2)/2

19
Q

Diagonal of a rectangular volume

A

D^2=a^2+b^2+c^2

20
Q

Similar triangles

A

For right angle, just need one other angle bc that proves all 3 angles same so triangles are similar

Either way need to find 2 similar angles

21
Q

Maximize rhombus

A

Turn into square

Basically turn polygon into right angles to max

22
Q

Perpendicular bi sector

A

Negative reciprocal slope, don’t forget reciprocal

23
Q

Where parabola touches x axis

A

Use b^2-4ac

Solve quadratic=0