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Which line below, when dilated with respect to the origin by a scale factor of 3, would remain unchanged?

Which line below, when dilated with respect to the origin by a scale factor of 3, would-example-1
User Tiara
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The graph in option D will remain unchanged

Why will the line be unchanged

A line that passes through the origin will remain unchanged when dilated with respect to the origin by any positive scale factor.

This is because all points on the line are equidistant from the origin, and when you apply a dilation centered at the origin, each point on the line is simply multiplied by the scale factor.

So any line that passes through the origin will remain unchanged after dilation.

User Moctarjallo
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