jkmoua2002 jkmoua2002
  • 13-06-2019
  • Mathematics
contestada

What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

What is the reflection image of P0 0 after two reflections first across x 4 and then across y 3 class=

Respuesta :

calculista
calculista calculista
  • 23-06-2019

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) -----> (8,-3-3) ----> (8,-6)

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