If the width of the image is 5 inches and the width of the preimage was x. What is the scale factor and center of dilation at the origin
To find the scale factor and the center of dilation at the origin, we need more information. Specifically, we need to know the corresponding width of the preimage.
However, I can provide you with some general information about scale factor and center of dilation.
The scale factor is the ratio between the corresponding lengths of the image and the preimage. In this case, it would be the ratio of the width of the image to the width of the preimage.
If the center of dilation is at the origin, it means that the origin is the fixed point around which the image is scaled or dilated. In other words, the origin remains fixed while all other points in the preimage are dilated or scaled.
So, if you provide the corresponding width of the preimage, I can help you calculate the scale factor.
To find the scale factor and center of dilation at the origin, we first need to understand the concept of dilation. Dilation is a transformation that changes the size of an object but not its shape.
In this case, we are given the width of the image (5 inches) and the width of the preimage (x). The scale factor (k) is the ratio of the width of the image to the width of the preimage. It represents the amount by which the image is scaled up or down compared to the preimage.
So, the scale factor (k) is given by:
k = Width of the image / Width of the preimage
k = 5 inches / x inches
Now, let's find the center of dilation. The center of dilation is the fixed point around which the dilation occurs. In this case, the center of dilation is at the origin (0, 0), since we are told it is a dilation at the origin.
Therefore, the scale factor (k) is 5/x and the center of dilation is at the origin (0, 0).