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.
2 answers:
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.
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<u>Domain</u>
We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write . Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.
<u>Range</u>
Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be .