Suppose that rectangle abcd is dilated to a'b'c'd' using vertex b as the center and a magnitude of 2. what are the coordinates of d'? a) (3, 4) b) (8, 4) c) (4, -8) d) (4, -11)

D

the coordinates of B(4, 3 ) and D(4, - 4 )

BD = d - b ← position vector representation

     = <4, - 4> - <4, 3> = <0, - 7>

BD' = 2BD = 2<0, - 7> = <0, - 14>

D' = (4 + 0, 3 - 14 ) = (4, - 11 ) → D

f is the midpoint of

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.