Which transformation would result in the area of a polygon being different from the area
of its pre-image?

a ) dilated by a scale factor of one

b) dilated by a scale factor of 2.5

c ) rotated 270° counterclockwise about the origin

d) translated four units up and two units to the right

B) Dilated by a scale factor of 2.5

Step-by-step explanation:

Dilation is multiplying the size of the polygon which would be changing the area. The reason A is wrong because multiplying anything by 1 doesn't change it.

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:

europa2433

europa2433

step-by-step explanation: