Which series of transformations shows that heptagon A is congruent to heptagon B?

A.
Reflect heptagon A over the x-axis, rotate it 90° clockwise about the point (3, 4), and translate it 5 units down.

B.
Reflect heptagon A over the y-axis, rotate it 90° counterclockwise about the point (4, 3), and translate it 8 units down.

C.
Reflect heptagon A over the y-axis, rotate it 180° about the origin, and translate it 8 units down.

D.
Reflect heptagon A over the x-axis, rotate it 180° about the orign, and translate it 5 units down.

Reflect heptagon A over the y-axis, rotate it 90° counterclockwise about the point (4, 3), and translate it 8 units down.

Step-by-step explanation:

8121 because

130,000 divided by 16 is 8121

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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