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Given coordinates A(3,3),B(2,5),C(4,3) complete transformation. Complete double reflection over the lines y=2 followed by y=0.​

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Answer:

  • A"(3, -1)
  • B"(2, 1)
  • C"(4, -1)

Explanation:

Reflection over 'a' then over 'b' will result in a translation of 2(b -a). Here, we have a=2, b=0, so the translation is 2(0-2) = -4. The reflection is over horizontal lines, so the transformation is ...

(x, y) ⇒ (x, y -4)

A(3, 3) ⇒ A"(3, -1)

B(2, 5) ⇒ B"(2, 1)

C(4,3) ⇒ C"(4, -1)

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