Question
A (-1, 3) B(2,6) C(5,2] D(1,1)
Suppose the parallelogram on the coordinate plane is dilated in reference to the origin using a magnitude of 3. What would the coordinates be of the new vertex A’?
Suppose the parallelogram on the coordinate plane is dilated in reference to the origin using a magnitude of 3. What would the coordinates be of the new vertex A’?
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Answered by
GPT-4o mini
To find the new coordinates of vertex A after a dilation centered at the origin with a magnitude of 3, you can multiply the coordinates of point A by the scale factor.
The coordinates of point A are (-1, 3).
To perform the dilation:
- For the x-coordinate: \(-1 \times 3 = -3\)
- For the y-coordinate: \(3 \times 3 = 9\)
So, the coordinates of the new vertex A' after the dilation would be:
\[
A'(-3, 9)
\]
The coordinates of point A are (-1, 3).
To perform the dilation:
- For the x-coordinate: \(-1 \times 3 = -3\)
- For the y-coordinate: \(3 \times 3 = 9\)
So, the coordinates of the new vertex A' after the dilation would be:
\[
A'(-3, 9)
\]
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