A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

max1409

  • one year ago

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)

  • This Question is Closed
  1. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  3. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ospreytriple i doth get it

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Looking at the given diagram, what are the coordinates of point B?

  5. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1,4

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  7. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do i do that

  8. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i am really bad at geometry

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Change the sign on the y-coordinate. It it's positive, it becomes negative. If it's negative, it becomes positive.

  10. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so -1,-4

  11. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    correct?

  12. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so choice a

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good. Now apply the reflection over the y-axis. In this transformation, the sign on the x-coordinate changes. What does that give you?

  14. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1,-4

  15. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so choice b?

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  17. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1,4?

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Correct. Good job!

  19. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you sure?

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yup. Draw it out for yourself to confirm.

  21. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it will be on the same position as B

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That's right. It ends up right back where it started.

  23. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wouldn't that be 360?

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You have performed three transformations, reflection across x-axis, reflection across y-axis, and rotation of 180 degrees. Not just a 180-degree rotation.

  25. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what would 360 and 180 rotation for point b

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't understand your question? Please explain.

  27. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i confused what my answer would be

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Why? You have your answer.

  29. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh k

  30. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it just looks weird to me

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well then, draw it out. That's what you should be doing anyway. |dw:1442273486042:dw|

  32. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    k

  33. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.