Which transformations will produce similar, but not congruent, figures?
choose all answers that are correct.
a. parallelogram jklm is rotated 90° clockwise and then reflected across the y-axis to form parallelogram jꞌꞌkꞌꞌlꞌꞌmꞌꞌ.
b. parallelogram jklm is dilated by a scale factor of 6 and then translated 2 units down to form parallelogram jꞌꞌkꞌꞌlꞌꞌmꞌꞌ.
c. parallelogram jklm is translated 6 units up and then dilated by a scale factor of 10 to form parallelogram jꞌꞌkꞌꞌlꞌꞌmꞌꞌ.
d. parallelogram jklm is translated 8 units left and then reflected across the x-axis to form parallelogram jꞌꞌkꞌꞌlꞌꞌmꞌꞌ

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

, 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