Which of these segments could be the image of segment AB after a sequence of reflections, rotations, and/or translations?

HG, CD, and PN

Step-by-step explanation:

The only transformations that we have are:

Reflections, rotations and/or translations.

You should notice that none of these transformations are dilations/contractions. This means that the length of the segment will remain constant.

Then the possible images of AB after the sequence of transformations, are the segments that have the same length as AB.

The length of AB is 4 units.

The segments with the same length are:

HG, CD and PN

So any of those could be the image of AB after the transformations.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.