Questions: What are the coordinates of triangle PQR after a dilation with a scale factor of 1/3? P'( , ), Q'( ), R'( ,

Transcript text: What are the coordinates of $\triangle PQR$ after a dilation with a scale factor of $\frac{1}{3}$? $P'($ $\quad$, $\quad$), $Q'($ $\quad$ $\quad$), $R'$($ $\quad$,

Solution

Solution Steps

Step 1: Identify the original coordinates

The original coordinates of the points are:

$ P(-6, -6) $
$ Q(-3, 6) $
$ R(3, 6) $

Step 2: Apply the scale factor

The scale factor given is $ \frac{1}{3} $. To find the new coordinates after dilation, multiply each coordinate by $ \frac{1}{3} $.

Step 3: Calculate the new coordinates

For $ P $: \[ P' = \left( -6 \times \frac{1}{3}, -6 \times \frac{1}{3} \right) = (-2, -2) \]
For $ Q $: \[ Q' = \left( -3 \times \frac{1}{3}, 6 \times \frac{1}{3} \right) = (-1, 2) \]
For $ R $: \[ R' = \left( 3 \times \frac{1}{3}, 6 \times \frac{1}{3} \right) = (1, 2) \]