Question

`bar(JK)` is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image `bar(J'K')`. The slope of `bar(JK)` is m. If the length of `bar(JK)` is l, what is the length of `bar(J'K')`? A. m × n × l B. (m + n) × l C. m × l D. n × l

Answer 1

Answer: Option D. n x l

Answer 2

Length of Bar JK=l

Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.

New line segment formed named bar (J'K').

As given slope of bar(JK) =m

When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.

Length of bar (J'K')= (Length of bar JK)×(Scale factor)

= l×n Or n×l

Option (D) is correct.