What is a line dilation?
Line Dilations

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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A transformation that alters the size of a line segment while maintaining its shape and orientation, centered at a specific point.
2.
FLASHCARD QUESTION
Front
What is a scale factor in dilation?
Back
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 a line segment is dilated by a scale factor of 2, what happens to its length?
Back
The length of the line segment doubles.
4.
FLASHCARD QUESTION
Front
What is the relationship between the original line segment and its image after dilation?
Back
The original line segment and its image are parallel.
5.
FLASHCARD QUESTION
Front
How do you find the coordinates of a point after dilation?
Back
Use the formula: (x', y') = (kx + (1-k)x_c, ky + (1-k)y_c), where (x_c, y_c) is the center of dilation, k is the scale factor, and (x, y) are the original coordinates.
6.
FLASHCARD QUESTION
Front
What is the effect of a dilation centered at the origin on the equation of a line?
Back
The coefficients of the line's equation are multiplied by the scale factor.
7.
FLASHCARD QUESTION
Front
If the length of a line segment after dilation is 18 and the scale factor is 4, what was the original length?
Back
The original length was 4.5.
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