Question

to dilate the rectangle, think about the lengths of the corresponding sides.
what is the length of qr, the image of segment qr?
qr = units

Explanation:

Step1: Find the length of \( QR \)

From the grid, \( QR = 2 \) units.

Step2: Determine the scale factor

Count the number of units from \( Q \) to \( S \) (original) and from \( Q \) to \( R' \) (image). The scale factor \( k = 3 \) (by observing the dilation from the center \( Q \)).

Step3: Calculate \( QR' \)

Using the formula for dilation \( QR'=k\times QR \). Substitute \( k = 3 \) and \( QR = 2 \), so \( QR'=3\times2=6 \).

Answer:

\(6\)