1. Which sequence of transformations takes A to its image, B ? A. reflection over the x-axis and translation 2 units down

B. reflection over the y-axis and translation 2 units down

C. translation 2 units down and 90° rotation about the origin

D. translation 12 units right and 90° rotation about the origin

B.

Step-by-step explanation:

A is reflected across the y axis (horizontal one) and then it moves two units down to get to B.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: