The figure below is dilated with the center of dilation at the origin and a scale factor of one half

Question

2
1
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. What are the coordinates of the image of point B after this transformation?
x
y
B
Answer
Attempt 1 out of 2

Answer 1

To find the coordinates of point B after a dilation with a center at the origin and a scale factor of \(\frac{1}{2}\), you can use the following formula for dilation:

\[ (x', y') = (kx, ky) \]

where \((x, y)\) are the original coordinates of the point, \((x', y')\) are the coordinates of the image after dilation, and \(k\) is the scale factor.

If you provide the original coordinates of point B, I can help you calculate its new coordinates after the dilation.