3-1 Rigid Motions: Reflections, Translations, and Rotations

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a reflection in geometry?
Back
A reflection is a transformation that flips a figure over a line, creating a mirror image.
2.
FLASHCARD QUESTION
Front
Define translation in the context of rigid motions.
Back
Translation is a transformation that moves every point of a figure the same distance in a specified direction.
3.
FLASHCARD QUESTION
Front
What does a 90-degree rotation counterclockwise mean?
Back
A 90-degree rotation counterclockwise means turning a figure 90 degrees around a fixed point in the opposite direction of a clock's hands.
4.
FLASHCARD QUESTION
Front
How do you translate a point (x, y) 5 units left and 1 unit up?
Back
The new coordinates will be (x-5, y+1).
5.
FLASHCARD QUESTION
Front
What is the result of translating point (2, 3) left 2 units and up 4 units?
Back
The new coordinates will be (0, 7).
6.
FLASHCARD QUESTION
Front
Describe the transformation (x, y) -> (x-2, y+7).
Back
This transformation translates the point 2 units to the left and 7 units up.
7.
FLASHCARD QUESTION
Front
What is the rule for translating a point 3 units to the right and 2 units down?
Back
The rule is (x, y) -> (x+3, y-2).
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