Use lengths |oq| = 9.4 units and |oq’| = 17.1 units to determine the scale factor r of dilation d (round to the nearest hundredths place if necessary). show and/or explain your work. let d be the dilation with center o and scale factor r > 0 so that dilation (p) = p’ and dilation (q) = q’.

Scale factor = 1.82 units.

Step-by-step explanation:

We have been given that side length OQ of our prei-mage is 9.4 units and side length OQ' after dilation is 17.1 units. Since our pre-image (original image) is smaller than our new image, so our scale factor (r) will be greater than 1.

Since we know that in a dilation, the sides of the pre-image and the corresponding sides of the image are proportional, so we will use proportion to find a scale factor our given side lengths as:

Upon multiplying both sides of our equation by OQ we will get,

Upon rounding our answer to nearest hundredths place we will get,

Since side length OQ' is 1.82 times side length OQ, therefore, our scale factor (r) will be 1.82 units.

828. all there is to it!

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