Question

give the coordinates of d under a dilation about the origin with scale factor of \\(\frac{3}{2}\\).
\\(d(-4, 10)\\)
show your work here

Explanation:

Step1: Recall dilation rule

To dilate a point \((x,y)\) about the origin with scale factor \(k\), we multiply each coordinate by \(k\), so the new coordinates are \((kx,ky)\). Here, \(k = \frac{3}{2}\) and the point is \(D(-4,10)\).

Step2: Calculate new x - coordinate

Multiply the x - coordinate of \(D\) by \(\frac{3}{2}\): \(-4\times\frac{3}{2}=-6\)

Step3: Calculate new y - coordinate

Multiply the y - coordinate of \(D\) by \(\frac{3}{2}\): \(10\times\frac{3}{2} = 15\)

Answer:

The coordinates of \(D\) after dilation are \((-6,15)\)