Question
AB has endpoint A (6, -12) and B (-3, 9). What are the endpoints of A’ and B’ after dilation with a
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Answered by
GPT-4o mini
To perform a dilation of the points A and B, you need a center of dilation and a scale factor. Assuming you want to dilate the points from the origin (0,0) and a dilation factor \( k \), the new coordinates for the points A and B after dilation can be calculated using the formula:
\[
A' = (k \cdot x_A, k \cdot y_A)
\]
\[
B' = (k \cdot x_B, k \cdot y_B)
\]
Where \( (x_A, y_A) \) are the coordinates of point A and \( (x_B, y_B) \) are the coordinates of point B.
Let's apply this formula to your points A (6, -12) and B (-3, 9):
1. For point A (6, -12):
\[
A' = (k \cdot 6, k \cdot -12)
\]
2. For point B (-3, 9):
\[
B' = (k \cdot -3, k \cdot 9)
\]
Without specific values for the scale factor (k), I can’t provide the exact coordinates for A' and B'. If you can provide the scale factor, I can compute the new coordinates for you.
\[
A' = (k \cdot x_A, k \cdot y_A)
\]
\[
B' = (k \cdot x_B, k \cdot y_B)
\]
Where \( (x_A, y_A) \) are the coordinates of point A and \( (x_B, y_B) \) are the coordinates of point B.
Let's apply this formula to your points A (6, -12) and B (-3, 9):
1. For point A (6, -12):
\[
A' = (k \cdot 6, k \cdot -12)
\]
2. For point B (-3, 9):
\[
B' = (k \cdot -3, k \cdot 9)
\]
Without specific values for the scale factor (k), I can’t provide the exact coordinates for A' and B'. If you can provide the scale factor, I can compute the new coordinates for you.
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