Question

Which of the following represents an image of △LMN under a dilation with a scale factor of 14/?

HELP ME NOW!! RED IS THE ONE I GOT WRONG!

Answer 1

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, then the dilation is an increase whereas if k<1, then the dilation is a decrease.

From the diagram, since triangle LMN is dilated by a factor of 1/4, hence the size of LMN is reduce. Therefore:

L'M' = (1/4)LM, L'N' = (1/4)LN, N'M' = (1/4)NM

Also, the distance from point P to N' is one-fourth of the distance from point P to N.

The correct option is highlighted in the image attached.