transformation
posted by jessica .
what is the image of (1,6) for a 90 degree counterclockwise rotation about the origin?
i guess it is (1.6) is it?

That point is in quadrant 4, down to the right.(1 unit right of y axis and 6 down)
Spin it 90 degrees and it ends up above the x axis a distance 1 and a distance 6 right of the origin
so I get
(1,6) 
no,
did you make a sketch?
I see it as (6,1)
Proof: slope of original line = (60)/(10) = 6
slope of new line = (10)/(60) = 1/6
they are negative recipricals so they form a 90º angle
also you can verify that their lengths are the same.
btw, are you using a rotation matrix ?
what grade level is this in ?
R(theta)=
│costheta sintheta │
│sintheta costheta] │ 
i am in grade 11 but this stuff is from grade 10. i am a new student and have not studied it back in my country. the paper is due tomorrow and i don't have a clue how to do it.... the substitute handed us the paper today. so i cannot even ask my teacher till tomorrow....

your best bet might be to make a sketch on graph paper, and use your intuition.
Notice that the x and y values contain the same numbers, except their signs might have switched as well as their positions, (1,6) became (6,1)
in general (a,b) becomes (b,a) after a 90º counterclockwise rotation and (b,a) for a clockwise rotation. 
thank you so much....i think i got it. thanks again!!!

Sorry, I made a typo
one up and 6 right is
(6,1)
which you can also get by he matrix operation
0 1
1 +0
times your (1,6) vector 
Damon, I think she wanted to rotate counterclockwise, you went clockwise

Damon, I apologize
You went the correct way, I messed up and went the wrong way. 
thank you both....so the correct answer is (6,1) Thanks!!! :)

I cheated and checked the matrix in my thick math book :)
Respond to this Question
Similar Questions

math
Find the entries of the following matrices: (a) the 2 ×2 matrix M for the reflection across the line y = x. (b) the 2 ×2 matrix N for the 90 degree counterclockwise rotation about the origin. (c) the product MN;what transformation … 
math
use transformation to rescue animals, start out at the x. the animal is at the bull's eye (4,2) translate 1 unit rotate 90 degree counterclockwise about the origin rotate 180 degree translate 3 units down reflect in the yaxis find … 
Math
Find equations for a pair of lines M and N so R(sub n)compose R(sub m) is the given transformation. A. The translation that maps the origin onto (5,0) B. The rotation of 180o about a point (Xo, Yo) C. The rotation of 40o about the … 
geometry
In the xy  plane, line l has equation y= x. Point P lies on l and has coordinates (2,2). If l is rotated counterclockwise 45 degrees about the origin, what will be the coordinates of the image of P under this rotation. 
Math
In xy plane the line l has equation y= x. point p lies on l and has coordinates(2,2) If l is rotated counterclockwise 45 degree about the origin. what will be the image of p under this rotation. 
math, PLEASE HELP!
Point E(0, 2) is a vertex of square DEFG. After a 90* clockwise rotation of the square about the origin, which of the following is the location of E? 
math
Point E(0, 2) is a vertex of square DEFG. After a 90* clockwise rotation of the square about the origin, which of the following is the location of E? 
math;););)
Apply the 57degree counterclockwise rotation about the origin to the vectors [1, 0] and [0,1], then use the image vectors (written as columns) to form the coe cient matrix M for the rotation. Test M by calculating the products M[1] … 
Math
18. Identify a sequence of transformations that maps triangle ABC onto triangle A′′B′′C′′ in the image below. (1 point) clockwise 90° rotation; enlargement counterclockwise 90° rotation; reduction counterclockwise 90° … 
math
18. Identify a sequence of transformations that maps triangle ABC onto triangle A′′B′′C′′ in the image below. (1 point) clockwise 90° rotation; enlargement counterclockwise 90° rotation; reduction counterclockwise 90° …