What is the scale factor used to create the dilation from pre-image bcde to image b'c'd'e' ?

a) 2

b) -2

c) .5

d) - .5

The first thing we are going to do in this case is to choose a vertex of BCDE.
 We have then:
 B = (1, 1)
 We choose now the same vertices of B'C'D'E '
 B '= (2, 2)
 We then have the following equation:
 B '= k * B
 Substituting:
 (2, 2) = k * (1, 1)
 Where do we get the equation:
 1 * k = 2
 Where we conclude:
 k = 2
 
 the scale factor used to create the dilation from Pre-image BCDE to image B'C'D'E 'is:
 A) 2