Answer:
The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
U'(-4, 7), V'(-1, 7), W'(-2, 10)
Explanation:
When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point P(x, y) after a rotation 270° counterclockwise around the origin is:
P(x, y) → P'(y, -x)
In our case, we have the points
U(-7,-4)
V(-7,-1)
W(-10,-2)
Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
P(x, y) → P'(y, -x)
U(-7,-4) → U'(-4, 7)
V(-7, -1) → V'(-1, 7)
W(-10, -2) → W'(-2, 10)
Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
U'(-4, 7), V'(-1, 7), W'(-2, 10)