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Select the correct answer.Triangle is reflected across the y-axis and dilated to give triangle . The coordinates of the preimage are , , and . The coordinates of the image are , , and . What is the scale factor of the dilation?

Select The Correct AnswerTriangle Is Reflected Across The Yaxis And Dilated To Give Triangle The Coordinates Of The Preimage Are And The Coordinates Of The Imag class=

Answer :

Step 1:

A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . ... If |k|<1 , the dilation is a reduction. The absolute value of the scale factor determines the size of the new image as compared to the size of the original image.

Step 2

The basic formula that is used for calculating the scale factor is, Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Step 3

[tex]\text{Scale factor = }\frac{10}{5}\text{ = }\frac{5}{2.5}\text{ = }\frac{7}{3.5}\text{ = }\frac{4}{2}\text{ = }\frac{1}{0.5}\text{ = }\frac{4}{2}\text{ = 2}[/tex]

Final answer

Scale factor = 2

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