5-1, 5-2, 5-3 Rigid Transformations
Flashcard
•
Mathematics
•
8th - 11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a rigid transformation?
Back
A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.
2.
FLASHCARD QUESTION
Front
How do you translate a point (x, y) by (a, b)?
Back
To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in the new point (x+a, y+b).
3.
FLASHCARD QUESTION
Front
What is the result of rotating a point (x, y) 180° about the origin?
Back
The result of rotating a point (x, y) 180° about the origin is (-x, -y).
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is reflected over the y-axis?
Back
When a point (x, y) is reflected over the y-axis, the x-coordinate changes sign, resulting in the new point (-x, y).
5.
FLASHCARD QUESTION
Front
What is the image of a transformation?
Back
The image of a transformation is the new figure or point that results from applying a transformation to the original figure or point.
6.
FLASHCARD QUESTION
Front
How do you reflect a point (x, y) over the line y=x?
Back
To reflect a point (x, y) over the line y=x, you swap the coordinates, resulting in the new point (y, x).
7.
FLASHCARD QUESTION
Front
What is the effect of a translation on the size of a figure?
Back
A translation does not change the size or shape of a figure; it only changes its position.
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