What is a dilation in geometry?
review for Illustrative 8th grade Math Unit #2 (Dilations)

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Mathematics
•
7th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A dilation is a transformation that changes the size of a figure but not its shape, using a center of dilation and a scale factor.
2.
FLASHCARD QUESTION
Front
What does the scale factor in a dilation represent?
Back
The scale factor indicates how much larger or smaller the figure will be after the dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.
3.
FLASHCARD QUESTION
Front
What is the center of dilation?
Back
The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted.
4.
FLASHCARD QUESTION
Front
What is the difference between a translation and a dilation?
Back
A translation moves a figure from one location to another without changing its size or shape, while a dilation changes the size of the figure.
5.
FLASHCARD QUESTION
Front
What does it mean for two figures to be similar?
Back
Two figures are similar if they have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.
6.
FLASHCARD QUESTION
Front
If a triangle is dilated by a scale factor of 2, what happens to its area?
Back
The area of the triangle increases by a factor of 4, since area is proportional to the square of the scale factor (2^2 = 4).
7.
FLASHCARD QUESTION
Front
What is a reflection in geometry?
Back
A reflection is a transformation that flips a figure over a line, creating a mirror image.
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