A.) are the two figures in the image congruent? are they similar? what does this tell you about the geometric transformations you will need to transform one of these polygons into the other?
b.) describe a series of at least two similar transformations that will transform abc into a’b’c’, coordinates of a(0,0)b(-3,-1)c(0,-1) and a'(-2,0)b'(4,2)c'(-2,2)

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: i think it is c