Question

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Answer 1

g'(1,-5)

Explanation:

Rule

(x,y) → (y -x)

(-5,-1) → (-1,5)

Helping in the name of Jesus.

Answer 2

For new coordinates of each point, we can use the following formula:

(x, y)
`\longrightarrow` (y, -x)

To rotate a point 90 degrees clockwise about the origin, we swap the x and y coordinates and negate the x coordinate.

Therefore, the rotated points are:

G(-5,-1)
`\longrightarrow` G'(-1, 5)

H(-3,-2)
`\longrightarrow` H'(-2, 3)

J(-3,-5)
`\longrightarrow` J'(-5, 3)

K(-5,-4)
`\longrightarrow` K'(-4, 5)

Therefore, The vertex of G is (-1,5)