What is the best estimate of the area of the figure if each square has a side length of 1 mm? On a coordinate plane, a figure contains 39 units inside of the shape.
27 square millimeters
36 square millimeters
39 square millimeters
46 square millimeters

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

source:

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