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Nat2105 [25]
3 years ago
11

parallelogram ABCD is reflected over the y axis, followed by a reflection over the x axis, and then rotated 180 degrees about th

e origin,. What is the location of point A after the transformations are complete? a (-5,-1) b. (5,1) c.(-5,1) d.(5,-1)

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer: Option c.

Step-by-step explanation:

The missing figure is attached.

Given a point (x,y):

1. If it is reflected over the y-axis:

(x,y) → (-x,y)

2. If it is reflected over the x-axis:

(x,y) → (x,-y)

3. If it is rotated 180 degrees about the origin:

(x,y) → (-x, -y)

In this case, you can identify that the point A is:

A(-5,1)

Then:

If it is reflected over the y-axis:

(-5,1) → (5,1)

If then it is reflected over the x-axis:

(5,1) → (5,-1)

Finally, if this is followed by a rotationf of 180 degrees about the origin, this is:

(5,-1) → (-5,1)

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