Question

Graph the pre-image and each transformation.ABCD has vertices A(-3, 1), B(-1, 1), C(-1,-1), and D(-3,-1). Rotate ABCD 180° about the origin and then translate it along the vector (1, -3).

Answer 1

To graph the pre-image and transformations of ABCD, we start by drawing the pre-image using the given coordinates. Next, we rotate the pre-image 180° about the origin. Finally, we translate the rotated image along the vector (1, -3).

Step-by-step explanation:

To graph the pre-image and transformations of ABCD, we start by drawing the pre-image using the given coordinates: A(-3, 1), B(-1, 1), C(-1, -1), and D(-3, -1).

Next, we rotate the pre-image 180° about the origin. This means each point's coordinates will be reflected across the x-axis and y-axis. Now we have the rotated image.

Finally, we translate the rotated image along the vector (1, -3). This means we move each point 1 unit to the right and 3 units down. This gives us the final transformed image.