geometry_20150814202915 Flashcards

1
Q

What do triangle proportion allow you to find?

A

missing sides or angles

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2
Q

When the lines are parallel the sides are…

A

proportional

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3
Q

When the sides are proportional the lines are…

A

parallel

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4
Q

If two figures are similar and their perimeter ratio is 2/4 what is their area ratio?

A

4/16

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5
Q

What is a scale drawing?

A

a drawing that is smaller/larger than the objects real size

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6
Q

In a triangle, what do parallel lines create?

A

equal proportion

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7
Q

What is a dilation?

A

transformation that changes an object’s size but not its shape

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8
Q

What is a scale factor?

A

description of how much the figure has enlarged or reduced

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9
Q

How could you find a triangle side on the coordinate plane

A

distance formula

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10
Q

Which postulates prove similarity?

A

SSS or SAS

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11
Q

What is the distance formula?

A

square root of (x2-x1)squared + (y2-y1) squared

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12
Q

What is the pythagorean theorem?

A

a2+b2=c2

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13
Q

What happens if a + b are less than c?

A

it does not form a triangle

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14
Q

What are the two special right triangle?

A

45/45/90 and 30/60/90

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15
Q

What are the sides of the 45/45/90?

A

1, 1, radical 2 (hypotenuse)

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16
Q

What are the sides of the 30/60/90?

A

1 (across from 30 degree angle), 2 (hypotenuse)m and radical 3 (across from 60 degree angle)

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17
Q

What are some of the pythagorean triples?

A

(3,4,5)(5,12,13)(7,24,25)(8,15,17)

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18
Q

What is cosine?

A

adjacent leg/ hypotenuse

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19
Q

What is tangent?

A

opposite leg/adjacent

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20
Q

What are trigonometric ratios used for?

A

finding missing parts of right triangles

21
Q

What do you do if you want to find the angle of a right triangle?

A

inverse of a trigonometric ratio

22
Q

What do you use for non right triangle?

A

law of sines

23
Q

What is sine?

A

opposite leg/ hypotenuse

24
Q

How do you find the surface area of triangles?

A

1/2 bh

25
Q

How do you find the surface area of a circle?

A

pie x (radius) square

26
Q

What is a net?

A

diagram of the surfaces pf a 3-D shape

27
Q

What is a cross section?

A

cutting a 3-D figure and seeing what shape it forms

28
Q

What is a face?

A

a flat surface

29
Q

What is a vertex (in 3-D shapes)?

A

point on which three or more faces intersect

30
Q

How do you find the volume of prisms and cylinders?

A

bh

31
Q

How do you find the volume of pyramids and cones?

A

bh/3

32
Q

How do you find the volume of a sphere?

A

4(pie) (radius) squares

33
Q

How do you find the surface area of squares, rectangles, and parallelograms?

A

bh

34
Q

What is an element?

A

member of a set

35
Q

What is a subset?

A

set made of elements from another set

36
Q

What is an intersection?

A

set of all elements AND another set (overlap)

37
Q

What is a union?

A

set made from all elements in one OR another set OR both

38
Q

What is a complement?

A

set made up of all elements not in a set

39
Q

What is a null set/ empty set?

A

set with no elements

40
Q

What is random?

A

no pattern for one occurrence but a definite fraction over large number

41
Q

What does theoretical mean?

A

probability based on how things are expected

42
Q

What is an outcome?

A

anything that occurs within the limits if what is being measured

43
Q

What is a sample space?

A

set of all possible outcomes

44
Q

What is an event?

A

subset of the sample space

45
Q

How do you solve for a AND b in probability?

A

a x b

46
Q

How do you solve for a OR b in probability?

A

a + b

47
Q

What is mutually exclusive?

A

no intersection

48
Q

What is non mutually exclusive?

A

intersection

49
Q

What is a set?

A

any group of items