The length of JK is l, and the length of J'K' is n*l.
A scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Line JK is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image J' K'.
The slope of JK is m. If the length of JK is l.
Dilation about the origin multiplies all linear dimensions by the scale factor.
[tex]\rm Scale \ factor =\dfrac{ length \ of \ the \ J'K' }{ length \ of \ the \ JK } \\\\Length \ of \ the \ J'K'=Scale \ factor \times length \ of \ the \ J'K'\\\\ Length \ of \ the \ J'K'=n \times l\\\\Length \ of \ the \ J'K'=nl[/tex]
Hence, If the length of JK is l, the length of J'K' is n*l.
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