Question

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

Answer 1

Answer: Option c.

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)`