Shape 1 and shape 2 are plotted on a coordinate plane. which statement about the shapes is true? a. shape 1 and shape 2 are not congruent. b. a translation will prove that shape 2 is congruent to shape 1. c. a rotation and a translation will prove that shape 2 is congruent to shape 1. d. a reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

i believe the correct answer is b.

the first one, all those points on the line just make a strait line.

, 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