## Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K’L’M’? Check all that apply. DO, 0.75 (x,y)

Question

Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K’L’M’? Check all that apply. DO, 0.75 (x,y) = (0.75x, 0.75y) LM is parallel to L’M’. KM is shorter than K’M’. The vertices of the image are closer to the origin than those of the pre-image. The distance from M’ to the origin is exactly half the distance from M to the origin.

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1. Answer: The correct statements are 0.75 (x,y) = (0.75x, 0.75y) , LM is parallel to L’M’ and “the vertices of the image are closer to the origin than those of the preimage”.

Explanation:

It is given that the triangle ABC was dilated according to the rule DO,0.75 (x,y)

DO, 0.75(x,y) represents the rule of dilation. Where both x- and y-coordinates are multiplied by 0.75 the dilation is about the origin has a scale factor of 0.75. The  notation for this dilation would be, Therefore, the first statement is true.

Since both x- and y-coordinates are multiplied by 0.75, therefore the sides of image and preimage are parallel but the sides of image are 0.75th of the side of preimage.

Therefore, the second statement “LM is parallel to L’M'” is true but the third and fifth statement is false.

The scale factor is 0.75 which is less than 1, so the vertices of the image are closer to the origin than those of the pre-image.

Therefore, the forth statement “The vertices of the image are closer to the origin than those of the pre-image”  is true.