## anonymous one year ago If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie? [Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

1. anonymous

2. anonymous

@ganeshie8 @welshfella @mathway help pleaase

3. welshfella

|dw:1439835853469:dw|

4. welshfella

the x is the point A what is the coordinates of the point after secodn reflection?

5. welshfella

|dw:1439836017204:dw|

6. anonymous

4, -2? im not sure

7. welshfella

No it starts at (1,-1)

8. welshfella

on the first refection it goes to (-1,-1) so after the second what is the coordinates

9. anonymous

i cant really tell the numbers, im not good at this

10. welshfella

well the numbers are bound to be 1's but one of them would be negative. Imagine the x axis is a mirror The point A' will be as far behind the mirror as A is in front of it

11. welshfella

|dw:1439836344324:dw|

12. anonymous

Sorry, What does it say on top of poit?

13. anonymous

point*

14. welshfella

can you see that the x coordinate is negative and the y coordinate is positive?

15. welshfella

This point

16. anonymous

Yes i could see that

17. welshfella

so what are the coordinates

18. welshfella

(x, y) = ?

19. welshfella

|dw:1439836567432:dw|

20. anonymous

4, -1 ?

21. anonymous

i dont know why i keep getting 4

22. welshfella

why 4?? 4 is here:- |dw:1439836657286:dw|

23. welshfella

what does A; line up with ?

24. welshfella

|dw:1439836711301:dw|

25. anonymous

-1 and 2?

26. anonymous

omg im so dumb

27. welshfella

the x coordinate is -1 A' lines up with this Now the y coordinate to its right is 1 so A1 has coordinates (-1,1) The x coordinate comes first then the y coordinate

28. anonymous

ohhh i get it now

29. welshfella

* A' not A1

30. welshfella

good

31. welshfella

Now the rotation through 180 degrees is easy |dw:1439836993317:dw|

32. anonymous

is that an x below 180?

33. welshfella

it returns to its original position

34. welshfella

now - my bad drawing - its an arrow showing the direction of rotation

35. welshfella

It starts at (1,-1) and ends at ( 1, -1)

36. anonymous

i got the arrow part

37. welshfella

the origin where the axes cross at (0,0) is the point about which the point rotates.

38. welshfella

|dw:1439837415204:dw|

39. anonymous

So it starts at (0,0) ?

40. welshfella

no it rotates about (0,0). It starts at (-1,1) and ends at (1,-1)

41. welshfella

|dw:1439837566493:dw|

42. anonymous

Ohhh makes sense now

43. welshfella

gtg

44. anonymous

thanks for the help.

45. welshfella

yw