Question

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?

Answer 1

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

`\text{Scale factor = }(10)/(5)\text{ = }(5)/(2.5)\text{ = }(7)/(3.5)\text{ = }(4)/(2)\text{ = }(1)/(0.5)\text{ = }(4)/(2)\text{ = 2}`

Final answer

Scale factor = 2