Use the image below to answer the following parts. A: Find the coordinates of the vertices of a triangle if the triangle above was translated 4 units up and 2 units right. Show all work. Part B: Find the coordinates of the vertices of a triangle if the triangle from Part A was rotated 180∘ about the origin. Show all work.

Part C: Would the triangles found in Part A and Part B be congruent or similar? Explain.

correct

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