Final answer:
To find the measure of side o'p' after a dilation by scale factor g, multiply the length of side op by g. For example, if op is 4 units and g is 3, then o'p' is 12 units.
Step-by-step explanation:
To determine the measure of side o'p' in triangle o'p'q' after a dilation by a scale factor g, we need to know the original length of side op in triangle opq. The length of side o'p' is calculated by multiplying the original length of side op by the scale factor g. This is represented mathematically as:
length of o'p' = length of op × g
For example, if the length of side op is 4 units and the scale factor g is 3, then the length of side o'p' after dilation would be:
length of o'p' = 4 units × 3 = 12 units.
This calculation uses the property of dilations that states corresponding sides of similar figures are proportional to the scale factor.