What is a dilation in geometry?
Dilations

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a center of dilation and a scale factor.
2.
FLASHCARD QUESTION
Front
What does the scale factor (k) indicate in a dilation?
Back
The scale factor (k) indicates how much the figure is enlarged or reduced. If k > 1, the figure enlarges; if k = 1, the figure remains the same size; if 0 < k < 1, the figure reduces.
3.
FLASHCARD QUESTION
Front
What is the effect of a scale factor of 1/2 on a figure?
Back
A scale factor of 1/2 reduces the size of the figure to half of its original dimensions.
4.
FLASHCARD QUESTION
Front
Are dilated figures congruent?
Back
No, dilated figures are not congruent unless the scale factor is 1. They are similar but not the same size.
5.
FLASHCARD QUESTION
Front
How do you find the coordinates of a point after dilation?
Back
To find the coordinates of a point after dilation, multiply the original coordinates by the scale factor and add the coordinates of the center of dilation.
6.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point (x, y) when dilated by a scale factor k with center at the origin?
Back
The new coordinates will be (kx, ky).
7.
FLASHCARD QUESTION
Front
If a triangle has vertices A(2,0), B(3,-1), and C(-2,-5), what are the new coordinates after dilation by a scale factor of 3?
Back
The new coordinates will be A'(6,0), B'(9,-3), C'(-6,-15).
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