Question

write the coordinates of the vertices after a dilation with a scale factor of $\frac{1}{5}$, centered at the origin.

Explanation:

Step1: Identify original coordinates

The original coordinates of point Q are (0, 5), and of point R are (5, 5).

Step2: Apply dilation formula

For a dilation centered at the origin with scale - factor \(k=\frac{1}{5}\), the formula for a point \((x,y)\) is \((kx,ky)\).
For point Q with \(x = 0\) and \(y = 5\), the new coordinates are \((\frac{1}{5}\times0,\frac{1}{5}\times5)=(0,1)\).
For point R with \(x = 5\) and \(y = 5\), the new coordinates are \((\frac{1}{5}\times5,\frac{1}{5}\times5)=(1,1)\).

Answer:

The coordinates of Q after dilation are \((0,1)\) and the coordinates of R after dilation are \((1,1)\)