A point P (3, 5) is reflected in line y + 4 = 0 to form the image P'. Find the coordinates of P'.

(3, -12)

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(3, -11)

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(3, -10)

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(3, -13)

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Solution

The correct option is D
(3, -13)

Here y = -4 acts as the mirror, Using midpoint formula

$\frac{y + 5}{2} = - 4$

$\Rightarrow$ $y = - 13$

Hence P' = (3, -13)

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A point $P (h, k)$ is reflected in the $x - a x i s$ to $P' (2, - 3)$ write down the values of $h$ and $k$ . $P''$ is the image of $P$ , when reflected in the $y - a x i s$ . Write down the coordinates of $P''$ . Find the coordinates of $P'''$ , when $P$ is reflected in the origin.

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A point P (3, 5) is reflected in line y + 4 = 0 to form the image P'. Find the coordinates of P'.

The correct option is D (3, -13) Here y = -4 acts as the mirror, Using midpoint formula y+52=−4 ⇒ y=−13 Hence P' = (3, -13)

The correct option is D
(3, -13)

Here y = -4 acts as the mirror, Using midpoint formula

$\frac{y + 5}{2} = - 4$

$\Rightarrow$ $y = - 13$

Hence P' = (3, -13)