Question

# what are the coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down, given T(-1,-1), U (-1,2), and V(2,1)?

Answer

V’’(13,3)

- Q:What is the image of TUV under a dilation centered at the origin with scale 5? A:Let T’(-5,-5), U’ (-5,10), and V’(10,5). To find the new coordinates after the dilation, multiply each coordinate by the scale factor.
- Q:What is the image of T’U’V’ under a translation 3 units right and 2 units down? A:Let T’’(5,-7), U’’ (5,8), and V’’(13,3). To perform the translation, add 3 to the x-coordinates and subtract 2 from the y-coordinates.