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To rotate a point 90° counterclockwise, we can use the following formulas:
P′(x′, y′) = (-y, x)
Let's apply this formula to each of the vertices:
For P(1, 5):
P′(5, -1)
For S(1, 0):
P′(0, -1)
For R(-2, -3):
P′(3, -2)
For T(-4, 2):
P′(2, 4)
Therefore, the image vertices of P′ after rotating the preimage 90° counterclockwise are:
P′(5, -1), S′(0, -1), R′(3, -2), T′(2, 4).