rigid transformations and symmetry

Flashcard
•
Mathematics
•
10th Grade
•
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. Examples include translations, rotations, and reflections.
2.
FLASHCARD QUESTION
Front
Define reflection in geometry.
Back
Reflection is a transformation that flips a figure over a line, creating a mirror image.
3.
FLASHCARD QUESTION
Front
What is the line of reflection?
Back
The line of reflection is the line over which a figure is reflected. Each point on the figure is equidistant from the line of reflection.
4.
FLASHCARD QUESTION
Front
Explain translation in geometry.
Back
Translation is a transformation that moves every point of a figure the same distance in the same direction.
5.
FLASHCARD QUESTION
Front
What is the rule for translating a point (x, y) to the right by 3 units and up by 2 units?
Back
The rule is (x, y) → (x + 3, y + 2).
6.
FLASHCARD QUESTION
Front
Define rotation in geometry.
Back
Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.
7.
FLASHCARD QUESTION
Front
What is symmetry?
Back
Symmetry is a property where a figure is invariant under certain transformations, such as reflection or rotation.
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