What set of reflections would carry hexagon abcdef onto itself? hexagon abcdef on the coordinate plane with point a at 0, 1, point b at negative 1, 0, point c at negative 2, 1, point d at negative 2, 3, point e at negative 1, 4, and point f at 0, 3. a. x-axis, y=x, x-axis, y=x b. y-axis, x-axis, y-axis c. x-axis, y-axis, y-axis d. y=x, x-axis, y=x, y-axis

When a point is reflected, it must be reflected across a line. The reflection of ABCDEF that carries it onto itself is:

D. y=x, x-axis, y=x, y-axis

Of the given options, (D) is correct.

The proof is as follows:

Using coordinate point A.

We have:

The first reflection in (D) is

This means that:

So, we have:

The next is across the x-axis.

The rule of this reflection is:

So, we have:

The next is

This means that:

So, we have:

The last is across the y-axis.

The rule of this reflection is:

So, we have:

Compare the end point to point A;

We can see that both points are the same i.e. (0,1)

Hence, the set of reflections would carry hexagon ABCDEF onto itself is (d)

Read more about reflections at:

link

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

2 1/2 feet

step-by-step explanation: