A' would lie on point A (-4 , 1)
Step-by-step explanation:
Let us revise some transformations
1. 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 the
x-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 A
A' would lie on point A (-4 , 1)
Learn more:
You can learn more about rotation in brainly.com/question/9720317
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