Scale factor is the ratio of the distance of centre of dilation to the image divided by that to the preimage. Therefore: A dilation is a magnification if the scale factor is greater than one. It is a shrinking if the scale factor is less than one. If the scale factor is exactly one, then the image coincides with the preimage. The triangle pre-image is closer to the point of dilation than the image. [So the image distance is farther than the preimage => image is bigger, so magnification] The triangle image is closer to the point of dilation than the pre-image. [ image is closer to point of dilation, so smaller => shrinking ] The value of the scale factor, , is between 0 and 1. [ scale factor < 1 => shrinking ] The value of the scale factor, 6, is greater than 1. [ scale factor >1 => magnification ] The vertices of the pre-image are collinear with the vertices of the image. [ the line of collinearity is not defined, so statement is meaningless. ]

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Check all that apply. The triangle pre-image is closer to the point of dilation than the image. The triangle image is closer to the point of dilation than the pre-image. The value of the scale factor, , is between 0 and 1. The value of the scale factor, 6, is greater than 1. The vertices of the pre-image are collinear with the vertices of the image.

ANSWERS

2016-04-13 23:40:48

ADD ANSWER