Transformations Flashcards
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What is a rigid motion?
A transformation that preserves the size & shape of the figure
What is a preimage?
The figure before the transformation
(Remember! Previews are before the movies)
What is an image?
The figure after the tranformation
What do we include in our labels to indicate that a transformation (or two) happened?
Primes (or double primes for two transformations)
What type of movement is a translation?
slide
What type of movement is a rotation?
spin (or turn)
What type of movement is a reflection?
flip (or mirror)
What type of movement is a dilation?
Shrink / grow
What info must you include when describing a translation?
Distance (# of units ) & direction (up, left, right, down)
What info must you include when describing a rotation?
Center point, size of angle, direction (clockwise/counterclockwise)
What info must you include when describing a reflection?
Line of reflection (equation or axis)
Hmm…reflection is the only transformation that we DON’T have to specif
What info must you include when describing a dilation?
Center point, scale factor
Which transformation(s) produce figures congruent to the preimage?
Translations, reflections, rotations (all the rigid motions!)
When does a dilation produce a congruent figure?
When the scale factor is 1
Which transformation(s) reverse the orientation of a figure?
Reflection
Which transformation(s) cause corresponding sides to be parallel?
Translations, Dilations, Rotations of 180
Which transformation(s) cause corresponding sides to be perpendicular?
Rotations of 90 or 270
When a horizontal line is rotated 90 degrees, it becomes…
Vertical
When a diagonal line is rotated 90 degrees, it becomes…
Diagonal
When a vertical line is rotated 90 degrees, it becomes…
Horizontal
If ABC maps onto DEF, which point corresponds with with C?
Point F
Follow the ordering of the letters! (ABC maps onto DEF)
What is a sequence of transformations?
Multiple transformations performed back to back
What is another name for rigid motion?
Isometry
What does “map onto itself” mean?
The shape lands directly on top of the original figure after the transformation
