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:

Step1: Determine the length of \( TQ \)

From the graph, \( TQ = 2 \) units.

Step2: Use the dilation formula

When dilating with a scale factor \( k = 3 \) and center at \( Q \), the length of the image \( T'Q=k\times TQ \).
Substitute \( k = 3 \) and \( TQ = 2 \) into the formula: \( T'Q=3\times2 \).

Answer:

\( T'Q = 6 \) units