Question

dilate rectangle qrst by a scale factor of 3 with the center of dilation at point q. qr = 3 units what is the length of tq, the image of segment tq? tq = units

Explanation:

on the grid, \( TQ = 2 \) units.

Step2: Apply the dilation formula

When dilating a segment with scale factor \( k \) and center of dilation at one of the segment's endpoints, the length of the dilated segment \( L'\) is given by \( L'=k\times L \). Here, \( k = 3 \) (scale factor) and \( L=TQ = 2 \) (original length). So, \( T'Q=3\times TQ \).
Substitute \( TQ = 2 \) into the formula: \( T'Q=3\times2 \).

Answer:

\( 6 \)