The coordinate grid shows a triangle the triangle is rotated 90 degrees clockwise about the origin
To rotate a point 90 degrees clockwise about the origin on a coordinate grid, you can switch the x and y coordinates of the point and then change the sign of the new x coordinate. This is equivalent to reflecting the point over the line y = x.
Let's say the triangle has vertices A, B, and C with coordinates (x₁, y₁), (x₂, y₂), and (x₃, y₃) respectively.
To rotate vertex A, you can find its new coordinates (x'₁, y'₁) by switching the x and y coordinates and changing the sign of the new x coordinate:
x'₁ = -y₁
y'₁ = x₁
Similarly, for vertices B and C:
x'₂ = -y₂
y'₂ = x₂
x'₃ = -y₃
y'₃ = x₃
The new coordinates of the triangle after rotating 90 degrees clockwise about the origin would be (x'₁, y'₁), (x'₂, y'₂), and (x'₃, y'₃).