Sequences of Transformations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation in geometry?
Back
A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.
2.
FLASHCARD QUESTION
Front
Define translation in the context of transformations.
Back
Translation is a type of transformation that slides a shape in a straight line from one position to another without changing its size, shape, or orientation.
3.
FLASHCARD QUESTION
Front
What is a rotation in geometry?
Back
A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle in a specific direction.
4.
FLASHCARD QUESTION
Front
Explain reflection in geometric transformations.
Back
Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.
5.
FLASHCARD QUESTION
Front
What is the purpose of a sequence of transformations?
Back
A sequence of transformations is used to describe the steps taken to move a shape from one position to another, often resulting in a new shape that is congruent or similar to the original.
6.
FLASHCARD QUESTION
Front
How do you identify a sequence of transformations?
Back
To identify a sequence of transformations, observe the changes in position, orientation, and size of the shape, and determine the order of transformations applied.
7.
FLASHCARD QUESTION
Front
What does it mean to map one shape onto another?
Back
Mapping one shape onto another means applying a series of transformations to the first shape so that it coincides with the second shape.
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