polygons Flashcards

1
Q

what is a polygon?

A

plane figure with at least three straight sides and angles and has to be closed

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2
Q

triangle

A

3

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3
Q

quadrilateral

A

4

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4
Q

pentagon

A

5

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5
Q

hexagon

A

6

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6
Q

heptagon

A

7

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7
Q

octagon

A

8

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8
Q

nonagon, enneagon

A

9

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9
Q

decagon

A

10

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10
Q

dodecagon

A

12

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11
Q

icosagon

A

20

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12
Q

convex polygon

A

all diagonals can be connected on the inside of the polygon

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13
Q

concave polygon

A

at least one diagonal connects on the outside of the polygon

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14
Q

triangles formed by diagonals from one vertex

A

n-2

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15
Q

sum of angles in a polygon

A

180(n-2)

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16
Q

total # of diagonals in a n-gon

A

n(n-3)/2

17
Q

measure of each exterior angle

A

360/n

18
Q

in a polygon this word describes the relationship between any interior angle and its adjacent exterior angle

A

linear pair

19
Q

the more common name for a tetragon-the polygon whose interior angles add to 360

A

quadrilateral

20
Q

Pick’s theorem

A

A=i+p/2-1

21
Q

What does the word probability mean

A

the chances of you getting something

22
Q

the numeric values that a probability can be are between

A

0 and 1

23
Q

probabilities can be expressed in 4 different ways

A

percent,ratio,decimal,fraction

24
Q

the size of the feasible region

A

shaded

25
Q

the size of the sample space

A

total area

26
Q

equiangular

A

equal angles

27
Q

equilateral

A

equal side lengths

28
Q

If a triangle is equiangular is it also equilateral (or vice versa)? Why?

A

Yes, because angles in a polygon have equal sides opposite of the sides are also equal angles

29
Q

If a quad is equiangular is it also equilateral? Why?

A

no, it can have the same angles but have different side lengths (rectangle)

30
Q

If a quad is equilateral is it also equiangular? Why?

A

no, it can have equal side lengths but have different angles (rhombus)

31
Q

area for polygon

A

A=1/2aP

A=1/2(height)(sides*length)

32
Q

SohCahToa

A

opposite
hypotenuse
adjacent

33
Q

30-60-90

A

x-x/3-2x

34
Q

45-45-90

A

x-x-x/2