Transformations Flashcards

1
Q

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What is a rigid motion?

A

A transformation that preserves the size & shape of the figure

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2
Q

What is a preimage?

A

The figure before the transformation

(Remember! Previews are before the movies)

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3
Q

What is an image?

A

The figure after the tranformation

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4
Q

What do we include in our labels to indicate that a transformation (or two) happened?

A

Primes (or double primes for two transformations)

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5
Q

What type of movement is a translation?

A

slide

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6
Q

What type of movement is a rotation?

A

spin (or turn)

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7
Q

What type of movement is a reflection?

A

flip (or mirror)

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8
Q

What type of movement is a dilation?

A

Shrink / grow

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9
Q

What info must you include when describing a translation?

A

Distance (# of units ) & direction (up, left, right, down)

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10
Q

What info must you include when describing a rotation?

A

Center point, size of angle, direction (clockwise/counterclockwise)

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11
Q

What info must you include when describing a reflection?

A

Line of reflection (equation or axis)

Hmm…reflection is the only transformation that we DON’T have to specif

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12
Q

What info must you include when describing a dilation?

A

Center point, scale factor

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13
Q

Which transformation(s) produce figures congruent to the preimage?

A

Translations, reflections, rotations (all the rigid motions!)

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14
Q

When does a dilation produce a congruent figure?

A

When the scale factor is 1

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15
Q

Which transformation(s) reverse the orientation of a figure?

A

Reflection

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16
Q

Which transformation(s) cause corresponding sides to be parallel?

A

Translations, Dilations, Rotations of 180

17
Q

Which transformation(s) cause corresponding sides to be perpendicular?

A

Rotations of 90 or 270

18
Q

When a horizontal line is rotated 90 degrees, it becomes…

A

Vertical

19
Q

When a diagonal line is rotated 90 degrees, it becomes…

A

Diagonal

20
Q

When a vertical line is rotated 90 degrees, it becomes…

A

Horizontal

21
Q

If ABC maps onto DEF, which point corresponds with with C?

A

Point F

Follow the ordering of the letters! (ABC maps onto DEF)

22
Q

What is a sequence of transformations?

A

Multiple transformations performed back to back

23
Q

What is another name for rigid motion?

A

Isometry

24
Q

What does “map onto itself” mean?

A

The shape lands directly on top of the original figure after the transformation