Question

How do you rotate the figure B(-2,0), C(-4,3), Z(-3,4), and X(-1,4) 90 degree clockwise about the origin?

Answer 1

Please see below.

Explanation:

When we rotate a point `(x,y)` clockwise by `90^@` about the origin, it takes the position `(y,-x)`. Hence the figure formed by `B(-2,0)`, `C(-4,3)`, `Z(-3,4)` and `X(-1,4)`, which appears below

graph{((x+4)^2+(y-3)^2-0.02)((x+1)^2+(y-4)^2-0.02)((x+3)^2+(y-4)^2-0.02)((x+2)^2+y^2-0.02)=0 [-10, 10, -5, 5]}

will become

`B'(0,2)`, `C'(3,4)`, `Z'(4,3)` and `X'(4,1)`

graph{(x^2+(y-2)^2-0.02)((x-3)^2+(y-4)^2-0.02)((x-4)^2+(y-3)^2-0.02)((x-4)^2+(y-1)^2-0.02)=0 [-10, 10, -5, 5]}