Unit 3A – CP CFA: Transformations
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Mathematics
•
8th Grade
•
Hard
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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 in some way to produce a new shape, called the image.
2.
FLASHCARD QUESTION
Front
What are the four main types of transformations?
Back
The four main types of transformations are translation, rotation, reflection, and dilation.
3.
FLASHCARD QUESTION
Front
How does a translation affect the coordinates of a point?
Back
A translation moves a point a certain distance in a specified direction, changing its coordinates according to the rule (x, y) -> (x + a, y + b), where a and b are the distances moved in the x and y directions respectively.
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is rotated 180° about the origin?
Back
The coordinates of a point (x, y) become (-x, -y) after a 180° rotation about the origin.
5.
FLASHCARD QUESTION
Front
What is the algebraic rule for translating a point 5 units to the right and 8 units down?
Back
The algebraic rule is (x, y) -> (x + 5, y - 8).
6.
FLASHCARD QUESTION
Front
How do you reflect a point across the y-axis?
Back
To reflect a point (x, y) across the y-axis, the new coordinates become (-x, y).
7.
FLASHCARD QUESTION
Front
What is the result of reflecting a point across the line x = -2?
Back
To reflect a point (x, y) across the line x = -2, the new x-coordinate is calculated as -2 - (x + 2), resulting in the new coordinates (-4 - x, y).
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