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Triangle XYZ where X(7, 2), Y(-3, 8), and Z(-4, 6) is dilated with a scale factor of two-third Where is the dilation located?
A. X’the coordinate (fourteen-thirds, four-thirds), Y’the coordinate (negative 2, sixteen-thirds)and Z’the coordinate (
B. X’the coordinate (fourteen-thirds, four-thirds), Y’the coordinate (4, negative three-fourths)and Z’the coordinate (two-thirds, negative 2)
C. X’the coordinate (seven-thirds, one-thirds), Y’the coordinate (negative 1, 2)and Z’ the coordinate (negative 1, 1)
D. X’the coordinate (negative one-eighth, negative seven-fourths),Y’the coordinate (negative 2, three-fourths)and Z’ the coordinate (negative 2, three-fourths)

1 Answer

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the answer is a. the simplest method to ever use in a dilation is multiplying the number by the scale factor. E.g X(7,2), you multiply the x-axis (7) by 2/3= 7* 2/3=14/3. And then multiply the y-axis (2) by 2/3= 2*2/3=4/3. If there are two options that contain the same answer, solve for the next coordinate which is y coordinate. I solved it and got Y( -2,16/3) . this tells me that the answer is A.
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