Final answer:
The measure of side IF after a dilation with a scale factor of 3/4 can be calculated by multiplying the original length of IF by 3/4. If the original length was 8 inches, the length after dilation would be 6 inches.
Step-by-step explanation:
To determine the measure of side IF after quadrilateral Foghorn is dilated to form quadrilateral FGH, we need to know the original length of side IF. Assuming the original length is known, the length of side IF after dilation can be found by multiplying the original length by the scale factor of 3/4. If side IF was originally 'x' units long, then the new length of IF will be (3/4) * x units.
Example:
If the original length of side IF was 8 inches, then after dilation by a scale factor of 3/4, the new length of side IF would be:
Original length of IF: 8 inches
New length of IF = (3/4) * 8 inches
New length of IF = 6 inches
Therefore, the new length of side IF after dilation would be 6 inches.