Triangle RST is dilated by a scale factor of one quarter

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to form triangle R'S'T'. Side TR measures 44. What is the measure of side T'R'?

Since the scale factor is 1/4, the length of corresponding sides in the dilated triangle will be 1/4 of the original length. Therefore, the measure of side T'R' will be:

T'R' = 1/4 * TR
T'R' = 1/4 * 44
T'R' = 11

So, the measure of side T'R' is 11.