Questions: A(-8,-2) ; B(-5,-2) ; C(-8,-6) ; D(-5,-6) (x, y) → (x+8, y+10)

A(-8,-2) ; B(-5,-2) ; C(-8,-6) ; D(-5,-6) (x, y) → (x+8, y+10)
Transcript text: 2. \[ \begin{array}{l} A(-8,-2) ; B(-5,-2) ; C(-8,-6) ; \\ D(-5,-6) \\ (x, y) \rightarrow(x+8, y+10) \end{array} \]
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Solution

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Solution Steps

Step 1: Apply the transformation rule to each point

The given transformation rule is (x, y) → (x + 8, y + 10). Applying this to each point:

  • A(-8, -2) → A'(-8 + 8, -2 + 10) = A'(0, 8)
  • B(-5, -2) → B'(-5 + 8, -2 + 10) = B'(3, 8)
  • C(-8, -6) → C'(-8 + 8, -6 + 10) = C'(0, 4)
  • D(-5, -6) → D'(-5 + 8, -6 + 10) = D'(3, 4)
Step 2: Plot the transformed points

The transformed points are A'(0, 8), B'(3, 8), C'(0, 4), and D'(3, 4). Imagine plotting these points on a Cartesian plane.

Final Answer:

The transformed coordinates are A'(0, 8), B'(3, 8), C'(0, 4), and D'(3, 4).

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