Scelta multipla
In the coordinate plane, triangle has vertices , , and . Triangle is a dilation of about the origin with vertices , , and . What is the scale factor from to ?
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3. Functions
Transformations
Scelta multipla
In the coordinate plane, a dilation centered at the origin maps point to . What is the scale factor of the dilation?
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Recall that a dilation centered at the origin multiplies both the x- and y-coordinates of a point by the same scale factor, say \(k\).
Set up the equation for the x-coordinate: \(k \times 2 = 6\) because the original point is \((2, 5)\) and the image is \((6, 15)\).
Solve for \(k\) from the x-coordinate equation: \(k = \frac{6}{2}\).
Verify the scale factor by checking the y-coordinate: \(k \times 5 = 15\).
Confirm that the scale factor \(k\) is consistent for both coordinates, which means the dilation scale factor is \(k\).
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