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The image provided shows a graph paper with plotted points. To determine the question, additional context or labels on the graph would be necessary. As it stands, no specific question can be extracted.

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

To draw the triangles on the graph paper:

  1. Identify the coordinates.

    The coordinates of the original triangle △ABC\triangle ABC are:

    A=(−5,−1)A = (-5, -1) B=(−3,−4)B = (-3, -4) C=(−1,−2)C = (-1, -2)

    The coordinates of the translated triangle △A′B′C′\triangle A'B'C' are:

    A′=(−5,4)A' = (-5, 4) B′=(−3,1)B' = (-3, 1) C′=(−1,3)C' = (-1, 3)
  2. Plot the vertices of △ABC\triangle ABC.

    • For A(−5,−1)A(-5, -1): Start at the origin (0,0)(0,0), move 5 units left along the x-axis, then 1 unit down along the y-axis. Mark this point as A.
    • For B(−3,−4)B(-3, -4): Start at the origin (0,0)(0,0), move 3 units left along the x-axis, then 4 units down along the y-axis. Mark this point as B.
    • For C(−1,−2)C(-1, -2): Start at the origin (0,0)(0,0), move 1 unit left along the x-axis, then 2 units down along the y-axis. Mark this point as C.
  3. Draw △ABC\triangle ABC.

    Connect points A, B, and C with straight lines to form the triangle.

  4. Plot the vertices of △A′B′C′\triangle A'B'C'.

    • For A′(−5,4)A'(-5, 4): Start at the origin (0,0)(0,0), move 5 units left along the x-axis, then 4 units up along the y-axis. Mark this point as A'.
    • For B′(−3,1)B'(-3, 1): Start at the origin (0,0)(0,0), move 3 units left along the x-axis, then 1 unit up along the y-axis. Mark this point as B'.
    • For C′(−1,3)C'(-1, 3): Start at the origin (0,0)(0,0), move 1 unit left along the x-axis, then 3 units up along the y-axis. Mark this point as C'.
  5. Draw △A′B′C′\triangle A'B'C'.

    Connect points A', B', and C' with straight lines to form the translated triangle.

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