Rigid Transformations Warm-Up
Flashcard
•
Mathematics
•
10th - 12th 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, meaning the figure's dimensions remain unchanged.
2.
FLASHCARD QUESTION
Front
What are the three types of rigid transformations?
Back
The three types of rigid transformations are translations, rotations, and reflections.
3.
FLASHCARD QUESTION
Front
Define translation in the context of rigid transformations.
Back
Translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.
4.
FLASHCARD QUESTION
Front
What is a reflection in geometry?
Back
A reflection is a rigid transformation that flips a figure over a line, creating a mirror image of the original figure.
5.
FLASHCARD QUESTION
Front
How does rotation differ from translation and reflection?
Back
Rotation is a rigid transformation that turns a figure around a fixed point, changing its orientation but not its shape or size.
6.
FLASHCARD QUESTION
Front
What is the effect of a translation of 5 units left and 1 unit up on a point (x, y)?
Back
The new coordinates of the point after the translation would be (x - 5, y + 1).
7.
FLASHCARD QUESTION
Front
What does it mean to reflect a figure across the x-axis?
Back
Reflecting a figure across the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis, changing the sign of the y-coordinate.
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