SkyDoki
SkyDoki SkyDoki
  • 10-12-2018
  • Mathematics
contestada

Given X(4, -7). What are the coordinates of X" if
X"=R----

A. (-4, 7)
B. (0,9)
C.(-4,9)
D.(0,-7)

Given X4 7 What are the coordinates of X if XRA 4 7B 09C49D07 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-12-2018

Answer:

B. (0, 9)

Step-by-step explanation:

Reflection across x=a is represented by the transformation ...

... (x, y) ⇒(2a-x, y)

Reflection across y=b is represented by the transformation ...

... (x, y) ⇒ (x, 2b-y)

The double reflection, across x=2, y=1 will result in the transformation ...

... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)

For (x, y) = X(4, -7), the transformed point is ...

... X''(4-4, 2-(-7)) = X''(0, 9)

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