Mathematics
DanielleHart
2016-04-13 20:42:36
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
supermatt115
2016-04-13 23:40:48

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. ]

ADD ANSWER