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Transformation > Notes > Flashcards

Notes Flashcards

1
Q

invariant point

A

a point that doesn’t move after a transformation

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2
Q

Isometry

A

preimage is congruent to the image (same shape, same size)

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3
Q

maps onto

A

A -> A’

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4
Q

Preimage

A

the graph of an object BEFORE transformation

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5
Q

Image

A

the graph of an object AFTER a transformation

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6
Q

Preserved Properties by isometry

A

A-angle measure // same shape
B - betweenness
C- collinearity
D- distance // same size

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7
Q

transformation notation

TRANSLATION

A

T

subscript

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8
Q

Transformation Notation

REFLECTION

A

r y=x

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9
Q

Transformation Notation

ROTATION

A

R 90° (assume CCW)

R o,90°. (around origin)

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10
Q

Transformation Notation

DILATION

A

D K=3

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11
Q

Composition

A

Doing multiple transformations

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12
Q

Reversed Orientation

A

Ex. Reflection

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13
Q

Preserved

A

stays the same

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14
Q

Reflection

A

Perpendicular- flip of the figure

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15
Q

Reflection Rule- x-axis

A

(x,-y)

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16
Q

Reflection Rule

y-axis

A

(-x,y)

17
Q

Reflection Rule

y=x

A

(y,x)

18
Q

Reflection Rule

y=-x

A

(-y,-x)

19
Q

rotation

A

turns every point of a preimage through a specified angle and direction about a fixed point

20
Q

center of rotation

A

fixed point the preimage is rotated around (0,0)

21
Q

Rotation- ALWAYS ASSUME

A

COUNTERCLOCKWISE

22
Q

90° CCW

A

270° CW

23
Q

180° CCW

A

180° CW

24
Q

270° CCW

A

90° CW

25
Q

Rotation

90°

A

(-y,x)

26
Q

Rotation

180°

A

(-x,-y)

27
Q

Rotation

270°

A

(y,-x)

28
Q

X

A

go to the left or right
right-+
left–

29
Q

Y

A

go up or down
up- +
down- -

30
Q

rotation invariant point

A

only at Origin

31
Q

Composition Notation

A

second transformation is listed first and then second

ex.. r y=x o r y axis

o- following

Transformation (1 decks)

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