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Sunny_sXe [5.5K]
2 years ago
10

Find a formula for the transformation of reflection across the line l with equation y = -x.

Mathematics
1 answer:
Julli [10]2 years ago
6 0

Answer:

The rule or formula for the transformation of reflection across the line l with equation y = -x will be:

P(x, y) ⇒ P'(-y, -x)

Step-by-step explanation:

Considering the point

P(x, y)

If we reflect a point P(x, y) across the line l with equation y = -x, the coordinates of the point P flips their places and the sign of the coordinates reverses.

Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:

P(x, y) ⇒ P'(-y, -x)

For example, if we reflect a point, let suppose A(1, 3), across the line l with equation y = -x, the coordinates of point A flips their places and the sign of the coordinates reverses.

Hence,

A(1, 3) ⇒ A'(-3, -1)

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