The scale factor of the dilation of segment HG is One-sixth. Point P is the center of dilation. Line segment H G is dilated to form shorter line segment H prime G prime. The length of P G prime is 0.5 If PG' equals 0.5 units, what is PG? 2.5 units 3 units 4.5 units 6 units

The length of PG if PG' is 0.5 units is; 3 units.

Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.

Now, we are told that Line HG is dilated to form a shorter line H'G'.

We are told that the scale factor is 1/6.

Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;

Length of PG'/Length of PG = 1/6

Thus;

0.5/length of PG = 1/6

Length of PG = 0.5/(1/6)

Length of PG = 4 units

Read more about dilation at; link

sorry not sure

step-by-step explanation: