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Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

Which of the following points is a vertex for the image produced by a dilation about-example-1
User Ango
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1 Answer

6 votes

Answer:

A (0,3)

Explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:


(x,y)\to( (1)/(2) x, (1)/(2) y)

This implies that:


(0,6)\to(0,3)


(7,12)\to(3.5,6)


(7,9)\to(3.5,4.5)


(0,12)\to(0,6)

Therefore correct choice is (0,3)

User Tonmoy Saha
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