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10. The vertices of quadrilateral JKLM are J(0,6), K(2,8), L(6,8), and M(6,4).

A. Give an example of a scale factor that would produce an enlargement. What would the
coordinates of the image be under this dilation?
B. Give an example of a scale factor that would produce a reduction. What would the coordinates
of the image be under this dilation?

User Killerpixler
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1 Answer

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16 votes

Final answer:

To produce an enlargement, choose a scale factor greater than 1 and multiply the x and y coordinates of each vertex. To produce a reduction, choose a scale factor between 0 and 1 and multiply the x and y coordinates of each vertex.

Step-by-step explanation:

The given coordinates are J(0,6), K(2,8), L(6,8), and M(6,4).

A. To produce an enlargement, we need a scale factor greater than 1. Let's choose a scale factor of 2. To find the coordinates of the image, we multiply the x and y coordinates of each vertex by the scale factor. So, the coordinates of the image under this dilation would be J(0*2,6*2) = J(0,12), K(2*2,8*2) = K(4,16), L(6*2,8*2) = L(12,16), and M(6*2,4*2) = M(12,8).

B. To produce a reduction, we need a scale factor between 0 and 1. Let's choose a scale factor of 0.5. To find the coordinates of the image, we multiply the x and y coordinates of each vertex by the scale factor. So, the coordinates of the image under this dilation would be J(0*0.5,6*0.5) = J(0,3), K(2*0.5,8*0.5) = K(1,4), L(6*0.5,8*0.5) = L(3,4), and M(6*0.5,4*0.5) = M(3,2).

User Coltfred
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