max1409
  • max1409
If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (−1, 4) (1, −4) (4, −1) (−4, 1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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max1409
  • max1409
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anonymous
  • anonymous
A reflection over the x-axis changes the sign on the y-coordinate. A reflection over the y-axis changes the sign on the x-coordinate. Rotating by 180 degrees reverses the x- and y-coordinates.
max1409
  • max1409
@ospreytriple i doth get it

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anonymous
  • anonymous
Looking at the given diagram, what are the coordinates of point B?
max1409
  • max1409
-1,4
anonymous
  • anonymous
Great. So first apply a reflection over the x-axis. As I said earlier, the sign on the y-coordinate changes. What are the new coordinates?
max1409
  • max1409
how do i do that
max1409
  • max1409
i am really bad at geometry
anonymous
  • anonymous
Change the sign on the y-coordinate. It it's positive, it becomes negative. If it's negative, it becomes positive.
max1409
  • max1409
so -1,-4
max1409
  • max1409
correct?
max1409
  • max1409
so choice a
anonymous
  • anonymous
Good. Now apply the reflection over the y-axis. In this transformation, the sign on the x-coordinate changes. What does that give you?
max1409
  • max1409
1,-4
max1409
  • max1409
so choice b?
anonymous
  • anonymous
Good. Now finally, rotate by 180 degrees. In this transformation, both coordinate change sign (I messed up when I tried to explain above). What does this give you?
max1409
  • max1409
-1,4?
anonymous
  • anonymous
Correct. Good job!
max1409
  • max1409
you sure?
anonymous
  • anonymous
Yup. Draw it out for yourself to confirm.
max1409
  • max1409
it will be on the same position as B
anonymous
  • anonymous
That's right. It ends up right back where it started.
max1409
  • max1409
Wouldn't that be 360?
anonymous
  • anonymous
You have performed three transformations, reflection across x-axis, reflection across y-axis, and rotation of 180 degrees. Not just a 180-degree rotation.
max1409
  • max1409
so what would 360 and 180 rotation for point b
anonymous
  • anonymous
I don't understand your question? Please explain.
max1409
  • max1409
i confused what my answer would be
anonymous
  • anonymous
Why? You have your answer.
max1409
  • max1409
ohh k
max1409
  • max1409
it just looks weird to me
anonymous
  • anonymous
Well then, draw it out. That's what you should be doing anyway. |dw:1442273486042:dw|
max1409
  • max1409
k

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