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What are the vertices of triangle A'B'C' produced by (x, y) -> (x+5, y-2)?

What Are The Vertices Of Triangle ABC Produced By X Y Gt X5 Y2 class=

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absor201

Answer:

The vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

  • A'(8, -2)
  • B'(8, 0)
  • C'(5, -5)

Step-by-step explanation:

Given the vertices of an original triangle ΔABC such that

  • A = (3, 0)
  • B = (3, 2)
  • C = (0, -3)

As the rule of translation is given by

Translation: (x, y)  →  (x+5, y-2)

So, after the translation the vertices of the original triangle ΔABC will be translated as:

A = (3, 0)  → (x+5, y-2)  ⇒ (3+5, 0-2) = A'(8, -2)

B = (3, 2)  →  (x+5, y-2)  ⇒ (3+5, 2-2) = B'(8, 0)

C = (0, -3) → (x+5, y-2)  ⇒ (0+5, -3-2) = C'(5, -5)

Therefore, the vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

  • A'(8, -2)
  • B'(8, 0)
  • C'(5, -5)
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