Transformations and Rotations in Geometry
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a transformation in geometry?
Back
A transformation in geometry 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
Define rotation in geometry.
Back
Rotation is a transformation that turns a figure about a fixed point at a given angle and in a specified direction.
4.
FLASHCARD QUESTION
Front
What is the result of rotating a point (x, y) 180° about the origin?
Back
The result is (-x, -y).
5.
FLASHCARD QUESTION
Front
If point A is at (3, 4), what are the coordinates of A' after a 90° counterclockwise rotation about the origin?
Back
The coordinates of A' would be (-4, 3).
6.
FLASHCARD QUESTION
Front
What is the image of a figure?
Back
The image of a figure is the new figure that results from a transformation.
7.
FLASHCARD QUESTION
Front
What does it mean to reflect a figure over the x-axis?
Back
To reflect a figure over the x-axis means to flip it over the x-axis, changing the sign of the y-coordinates.
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