Dilating a line changes the size of the line.
The true statement is <em>(c) Line L passes through the origin</em>
The scale of dilation is given as:
The scale represents the slope of line L.
The equation of line M is:
From the above equation, the slope of line M is:
The two lines do not have the same slope.
<em>This means that, the lines are not parallel and they are not the same line.</em>
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For the two lines to be perpendicular, then the relationship between their slopes is:
The above is false, because:
Hence, the true statement is <em>(c) Line L passes through the origin</em>
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Read more about dilations at: