Chapter Nine Transformation Rules Flashcards

(45 cards)

1
Q

X-axis reflection

A

negate y value

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2
Q

X-axis reflection

A

negate y value

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3
Q

Y-axis reflection

A

negate x value

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4
Q

XY-axis reflection

A

switch values

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5
Q

Vector notation (translations)

A
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6
Q

Function notation (translations)

A

xc,y)—>(x+a, y+b)

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7
Q

90 degree rotation

A

switch, negate x value

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8
Q

180 degree rotation

A

negate both

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9
Q

270 degree rotation

A

switch, negate y value

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10
Q

what is the number of times a shape can be mapped onto itself (symmetry)?

A

the order

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11
Q

how do you find rotational symmetry, order, and magnitude?

A
  1. how many times can you rotate figure and have it match itself?
  2. this is the order
  3. 360/order = magnitude
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12
Q

reflection synonym

A

flip

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13
Q

rotation synonym

A

turn

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14
Q

translation synonym

A

slide

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15
Q

if the point is not on the line of reflection _____ joins the two points

A

perpendicular bisector

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16
Q

more than one transformation

A

composition transformation

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17
Q

glide reflcetion

A

translation followed by a reflection

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18
Q

isometry

A

function that moves an image without changing its size or shape; composition of two or more isometries

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19
Q

the composition of two relflections over parallel lines is a _______

20
Q

the translation vector in a double reflection over parallel lines is ____ to the lines

A

perpendicular

21
Q

Y-axis reflection

A

negate x value

22
Q

XY-axis reflection

A

switch values

23
Q

Vector notation (translations)

24
Q

Function notation (translations)

A

xc,y)—>(x+a, y+b)

25
90 degree rotation
switch, negate x value
26
180 degree rotation
negate both
27
270 degree rotation
switch, negate y value
28
what is the number of times a shape can be mapped onto itself (symmetry)?
the order
29
how do you find rotational symmetry, order, and magnitude?
1. how many times can you rotate figure and have it match itself? 2. this is the order 3. 360/order = magnitude
30
reflection synonym
flip
31
rotation synonym
turn
32
translation synonym
slide
33
if the point is not on the line of reflection _____ joins the two points
perpendicular bisector
34
more than one transformation
composition transformation
35
glide reflcetion
translation followed by a reflection
36
isometry
function that moves an image without changing its size or shape; composition of two or more isometries
37
the composition of two relflections over parallel lines is a _______
translation
38
the translation vector in a double reflection over parallel lines is ____ to the lines
perpendicular
39
a reflection over the y axis, then over the x axis is also a
180 degree rotation
40
symmetry
"rigid rotation" that maps figure onto itself
41
line symmetry
reflectional symmetry
42
rotational symmetry of 180
point symmetry
43
plane symmetry
figure can be mapped onto itself by reflection in a plane
44
axis symmetry
can turn on its axis; figure can be mapped onto itself by rotation in a line
45
a figure and its dilation are
proportional/similar