Question

Triangle ABC, with A=(-2,3) B=(-4,1) and C=(-3,5), is rotated clockwise about the origin to make Triangle ABC. What are the y-coordinates of B?

Answer 1

To find the y-coordinate of B after rotating Triangle ABC clockwise about the origin, use the rotation formulas to calculate the new coordinates of B.

Step-by-step explanation:

To find the y-coordinate of point B after rotating Triangle ABC clockwise about the origin, we need to determine the new coordinates of B. First, let's calculate the rotation angle: θ = -90°. Then, we can use the rotation formula:

x' = x*cos(θ) - y*sin(θ)

y' = x*sin(θ) + y*cos(θ)

Plugging in the original coordinates of B into these formulas, we get:

x' = (-4)*cos(-90°) - (1)*sin(-90°) = 1

y' = (-4)*sin(-90°) + (1)*cos(-90°) = -4

Therefore, the new y-coordinate of B after rotation is -4.