Question

The scale factor of the dilation of segment HG is 1/6

If PG' equals 0.5 units, PG equals __ units

a. 2.5
b.3
c.4.5
d.6

Answer 1

i think the answer is b

Answer 2

3

Explanation:

The scale factor of the dilation of segment HG is
`(1)/(6)`.

Now, PG' = 0.5 units

As per the rule of scale factor:

`(PG')/(PG) =SF=(1)/(6)`, where SF represents the scale factor.

Solving for PG, we get:

`PG=PG' * 6=0.5 * 6=3.0`

Therefore, the length of the segment PG is 3 units.