Identify the transformation that maps the figure onto itself

  B.  Rotate 180° clockwise around (8, 4) and reflect across the line x=8.

Step-by-step explanation:

The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.

Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.

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Any of the other transformations have the effect of translating the figure somewhere else.

it should be a and d. lmk if i'm wrong xd

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.