Final answer:
To calculate the measure of the dilation image of segment xY which is 32m long with a scale factor of 3/4, you simply multiply the original length by the scale factor yielding a dilated length of 24m.
Step-by-step explanation:
To find the measure of the dilation image of segment xY with a given length of 32m for a scale factor of 3/4, you can use the concept of dilations in geometry. A dilation scales an object by a certain factor about a center point which can be within or outside the object or even at infinity. In this case, we assume a center of dilation that does not affect the calculations as we are only concerned with the scaling factor.
Solution for Measure of the Dilation Image
- Identify the original length of segment xY, which is 32m.
- Multiply this length by the scale factor of 3/4 to find the new length.
- Calculation: (32m) * (3/4) = 24m.
The measure of the dilation image of segment xY is therefore 24m.