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Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? 4 3 g 1 E -5 -2 -1 0 -1 -2

Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where-example-1

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C) The lines g and g' are parallel and E'(-2,0) and F'(0, 1)

1) Let's locate points E and F.

E (0,2) and F( -4,0)

Given that line was dilated by a scale factor k = 1/2 about the origin we can state the following

• The line segment g' is shorter, half of g.

,

• Points E'(0,1) and F'(0,1)

3) Examining the answers we can state:

The lines g and g' are parallel and E'(-2,0) and F'(0, 1)

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