Monica measures the number of bacteria that are living on her petri dish. each day, she measures the amount of change in the number of bacteria. these amounts create a geometric sequence. use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day.

day
amount of change in
bacteria
1
2
2
−8
3
32
4
−128

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?