Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin. U(-7,-4)
V(-7,-1)
W(-10,-2)

How to
U'( , ), V'( , ), W'( , )

The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

U'(-4, 7), V'(-1, 7), W'(-2, 10)

Step-by-step 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)

rounding to the nearest thousandth would be 452,000

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step-by-step explanation: