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REFLECTION HELP If P= (-2,4), then find: Ry=1 (P)
(?, ?)

REFLECTION HELP If P= (-2,4), then find: Ry=1 (P) (?, ?)-example-1
User Ragnar
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1 Answer

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Answer:

P'(-2, -2)

Explanation:

You want to know the location of P(-2, 4) after it is reflected in y=1.

Reflection

The image point will be as far below the line y=1 as point P is above the line. The x-coordinate is unchanged.

P is 4 -1 = 3 units above the line y=1.

P' will be 3 units below the line y=1, so its y-coordinate is 1 -3 = -2.

The image point is P'(-2, -2).

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Additional comment

Reflection in the line y=k is described by the transformation ...

(x, y) ⇒ (x, 2k-y)

P(-2, 4) ⇒ P'(-2, 2(1) -4) = P'(-2, -2)

User Danez
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