The dashed triangle is the image of the solid triangle. The center of dilation is (−4,−4).

What is the scale factor used to create the dilation?

Question

Nathan Axel · Accepted Answer

#SF = -3#

Three things are immediately apparent when comparing the figure and its image: the image is larger; the image is flipped; and the two have a common point.

The common point is the centre of dilation.# (-4,-4)# The fact that it lies BETWEEN the image and the figure means that the SF is a negative number. This accounts for the fact that the image is inverted.

To find the Scale Factor divide #("a side in the image")/("the same side in the figure"}#

Observing the lines that are horizontally...

#("a side in the image")/("the same side in the figure"} = -6/2 = -3#

Julia Adams · Answer

undefined To find the scale factor used to create the dilation, we can use the distance formula. First, we calculate the distance from the center of dilation to a vertex of the solid triangle, and then we calculate the distance from the center of dilation to the corresponding vertex of the dashed triangle. The scale factor is the ratio of the distance from the corresponding vertices of the dashed and solid triangles.

The dashed triangle is the image of the solid triangle. The center of dilation is (−4,−4). What is the scale factor used to create the dilation?