Which ordered pair gives the coordinates of the image of R(-a, b) if R is rotated clockwise 180°?
2 answers:
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Answer:
- <u>You are right, the coordinates are</u>:
Explanation:
Here is how you can proove that you are right.
Note that m is the x-coordinate of the point . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in
.
The distance from to the y-axis is not
but
.
That is the same distance from the point with the missing coordinates to the point (h,0).
Then, the missing x-coordinate is
Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).
Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).