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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) are subjective and change depending on the angle one uses in the ratio. However the name (
) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.
In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent () ratio.
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