Brainliest Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?
A) A rotation of 180 degrees about the origin
B) A dilation followed by a reflection
C) A translation of (x + 5, y − 2)
D) A translation followed by a reflection

B) A dilation followed by a reflection

3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.

dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2