Translations and Dilations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a translation in geometry?
Back
A translation is a transformation that moves every point of a figure the same distance in a specified direction.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
2.
FLASHCARD QUESTION
Front
How do you perform a translation on a point (x, y)?
Back
To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in (x+a, y+b).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
3.
FLASHCARD QUESTION
Front
What is the effect of translating a point 3 units to the right and 4 units down?
Back
The new coordinates will be (x+3, y-4).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
FLASHCARD QUESTION
Front
What is a dilation in geometry?
Back
A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.
Tags
CCSS.8.G.A.3
5.
FLASHCARD QUESTION
Front
How do you calculate the coordinates of a point after dilation?
Back
To dilate a point (x, y) from the origin with scale factor k, multiply both coordinates by k: (kx, ky).
Tags
CCSS.8.G.A.3
6.
FLASHCARD QUESTION
Front
What happens to the coordinates of point B (4, 9) under a dilation with scale factor k = 2?
Back
The new coordinates will be (8, 18).
Tags
CCSS.8.G.A.3
7.
FLASHCARD QUESTION
Front
What is the center of dilation?
Back
The center of dilation is the fixed point in the plane about which all points are expanded or contracted.
Tags
CCSS.8.G.A.3
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