A point P(-4, 5) is reflected in line y = 3 to P'. Find the coordinates of P'.

(-5, 1)

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(-5, 2)

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(-4, 2)

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(-4, 1)

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Solution

The correct option is D
(-4, 1)

Let P' be the image

y = 3 acts as the mirror, Using midpoint formula

So $\frac{y + 5}{2} = 3$

$\Rightarrow$ y = 1

Hence P' = (-4, 1).

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A point P(-4, 5) is reflected in line y = 3 to P'. Find the coordinates of P'.

The correct option is D (-4, 1) Let P' be the image y = 3 acts as the mirror, Using midpoint formula So y+52=3 ⇒ y = 1 Hence P' = (-4, 1).

The correct option is D
(-4, 1)

Let P' be the image

y = 3 acts as the mirror, Using midpoint formula

So $\frac{y + 5}{2} = 3$

$\Rightarrow$ y = 1

Hence P' = (-4, 1).