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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!

Which of the following represents an image of △LMN under a dilation with a scale factor-example-1
Which of the following represents an image of △LMN under a dilation with a scale factor-example-1
Which of the following represents an image of △LMN under a dilation with a scale factor-example-2
Which of the following represents an image of △LMN under a dilation with a scale factor-example-3

1 Answer

1 vote

Answer:

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.

Which of the following represents an image of △LMN under a dilation with a scale factor-example-1
User Ash M
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