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Select the correct answer.Segment in the coordinate plane has endpoints , and . The line is dilated by a scale factor of with point I as the center of dilation, resulting in the image . Which image shows ?

Sagot :

SOLUTION

We want to select which graphs shows the original object HI, with coordinates

H(5, 4) and I(3, 4)

Now, we are told that the line was dilated with a scale factor of 1/2, with I as the center of dilation.

So since I is the center of dilation, its coordinate remains the same. So the image I'(3, 4) and the object I(3, 4) will have the same coordinate.

Also H(5, 4) and I(3, 4) this means that this is a horizontal line, with a scale of 2 units, that is using the x-coordinate

[tex]5-3=2[/tex]

Dilating by 1/2 means reducing it by 1/2, so the line becomes 1 unit and remains horizontal. So new H coordinate becomes H'(4, 4)

Since the I coordinate remains the same,

The answer is H'(4, 4) and I'(3, 4)

Hence the 3rd graph is the answer

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