Mathematics
Grade9
Easy

Question

The vertices of increment ABC are A(2, 4), B(6, 0), and C(7, 2). Find coordinates of the image of  after the composition of the transformations in the order they are listed.
Translation: (x, y) → (x, y - 5)
Reflection: in the y-axis

  1. A’’(-2, -1), B’’(-6, -5), C’’(-7, 3)
  2. A’’(-2, -1), B’’(-6, 5), C’’(-7, -3)
  3. A’’(-2, 1), B’’(-6, -5), C’’(-7, -3)
  4. A’’(-2, -1), B’’(-6, -5), C’’(-7, -3)

hintHint:

first perform translations of each point as per given rule
and then  for reflection along y axis multiply x with -1

The correct answer is: A’’(-2, -1), B’’(-6, -5), C’’(-7, -3)


    Given the coordinates of triangle PQR are
    P(2, 4), Q(6, 0), and R(7, 2)
    Here, the translation rule is (x, y) → (x, y - 5).
    A(2, 4) → A’(2, 4-5) = A’(2, -1)
    B(6, 0)→ B’(6, 0-5) = B’(6, -5)
    C(7, 2) → C’(7, 2- 5) =C’(7, -3)
    text  Now we need to reflect the  end text capital delta A to the power of apostrophe B to the power of apostrophe C to the power of apostrophe text  in the  end text y minus text  axis.  end text
    Coordinate notation for reflection along the y-axis:
    Multiply the x - coordinate by -1.
    (x, y) →  (-x, y)
    A’(2, -1)→  A’’(-2, -1)
    B’(6, -5)→  B’’(-6, -5)
    C’(7, -3)→  C’’(-7, -3)

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