Q:

(MC 02.03) If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1.

Accepted Solution

A:
A' would lie on point A (-4 , 1)Step-by-step explanation:Let us revise some transformations1. If point (x , y) reflected across the x-axis , then its image is (x , -y) 2. If point (x , y) reflected across the y-axis , then its image is (-x , y) 3. If point (x , y) rotated about the origin by angle 180°, then its image     is (-x , -y) Parallelogram ABCD was reflected over the y-axis, reflected over thex-axis, and rotated 180°We need to know where would point A' lie∵ The coordinates of point A are (-4 , 1)∵ The parallelogram is reflected over x-axis∴ The sign of y-coordinate of point A changed to opposite∴ The image of point A is (-4 , -1)∵ The parallelogram then reflected over the y-axis∴ The sign of x-coordinate of point (-4 , -1) changed to opposite∴ The image of point (-4 , -1) is (4 , -1)∵ The parallelogram then rotated 180°∴ The signs of the x-coordinate and the y-coordinate of point (4 , -1)    changed to opposite∴ The image (4 , -1) is (-4 , 1)∴ A' is (-4 , 1)∵ Point A is (-4 , 1)∴ A' would lie on point AA' would lie on point A (-4 , 1)Learn more:You can learn more about rotation in brainly.com/question/9720317#LearnwithBrainly