Unit Two: Dilations

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a dilation in geometry?
Back
A dilation is a transformation that alters the size of a figure but preserves its shape. It is defined by a center of dilation and a scale factor.
2.
FLASHCARD QUESTION
Front
What is the scale factor in a dilation?
Back
The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.
3.
FLASHCARD QUESTION
Front
If triangle ABC is dilated by a scale factor of 2, what happens to its size?
Back
The size of triangle ABC is enlarged to twice its original size.
4.
FLASHCARD QUESTION
Front
What happens to a figure when a scale factor of 0.5 is applied?
Back
The figure is reduced to half its original size.
5.
FLASHCARD QUESTION
Front
How do you determine the new coordinates of a point after dilation?
Back
To find the new coordinates after dilation, multiply the original coordinates by the scale factor.
6.
FLASHCARD QUESTION
Front
What is the algebraic rule for a dilation with a scale factor of 3?
Back
The algebraic rule is @@(x,y) ightarrow (3x, 3y)@@.
7.
FLASHCARD QUESTION
Front
What is the effect of a scale factor of 1 on a figure?
Back
A scale factor of 1 means the figure remains the same size; it is unchanged.
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