WorksheetsIntro To Isometries and Translations
Total questions: 25
Worksheet time: 6hrs 15mins
A one to one mapping of points in a plane to other points in a plane.
Geometric Transformation
Isometric Transformation
Similarity Transformation
Congruence Transformation
The original figure, before the transformation
Preimage
Image
Isometry
Rigid Motion
The new figure, after the transformation
Preimage
Image
Isometry
Rigid Motion
The preimage and image are distinguished by the use of these on the labeling of the image
Prime Marks
Capital Letters
Lower Case Letters
Vowel Letters
A transformation where length is preserved (where the image and preimage are congruent)
Isometry
Shrink
Stretch
Dilation
A transformation where orientation is preserved (letter ordering in the preimage and the image are the same)
Direct Isometry
Opposite Isometry
Reflective Isometry
Reflection
A transformation where orientation is NOT preserved (letter ordering in the preimage and the image are opposite)
Direct Isometry
Opposite Isometry
Translative Isometry
Translation
In a direct isometry if the letter ordering of the preimage is clockwise, the letter ordering of the image will be...
Clockwise
Counterclockwise
None of the Above
Not enough information
In an opposite isometry if the letter ordering of the preimage is clockwise, the letter ordering of the image will be.
Clockwise
Counterclockwise
None of the Above
Not enough information
In which isometric transformation is orientation NOT preserved?
Translation
Reflection
Rotation
None of the above
Check all transformations that are classified as isometries / rigid motions
Translation
Reflection
Rotation
Dilation
Stretch
Check all properties that are preserved in a translation
Distance
Angle Measure
Midpoint
Parallelism
Collinearity
A translation is a transformation that _________ a figure
Slides
Flips
Turns
Stretches
Shrinks
Every transformation has two components, they are
distance and direction
center and scale factor
center and angle
center of translation and translation axis
In a translation, the image and preimage are...
congruent
similar
have no relationship
none of the above
Use the image to answer the question. Remember to always start with your preimage figure when you are counting.
A
B
C
D
Use the image to answer the question. Remember to always start with your preimage figure when you are counting.
A
B
C
D
Use the image to answer the question. Remember to always start with your preimage figure when you are counting.
A
B
C
D
Use the image to answer the question. Remember to always start with your preimage figure when you are counting.
A
B
C
D
Use the image to answer the question. Remember to always start with your preimage figure when you are counting.
A
B
C
D
What is the rule for the translation?
(x-3, y-5)
(x+3, y+5)
(x -3, y+5)
(x +3,y-5)
What is the rule for the translation?
(x+6, y-4)
(x-6, y-4)
(x +6, y+4)
(x -6,y+4)
What is the rule for the translation?
(x+9, y-7)
(x-9, y-7)
(x+ 9, y+7)
(x -9,y+7)
What is the rule for the translation?
(x+9, y-4)
(x-9, y-4)
(x+ 9, y+4)
(x -9,y+4)
What is the rule for the translation?
(x+5, y-2)
(x-5, y-2)
(x+ 5, y+2)
(x -5,y+2)
