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Now reflect △A′B′C′

across the y-axis to create △A"B"C"
. What are the new coordinates?(3 points)
coordinates are
A = (5,-1)
B = (5,-9)
C = (2,-7)

1 answer

To reflect a triangle across the y-axis, we need to change the x-coordinates of each vertex to their opposite (negative) values while keeping the y-coordinates the same.

Given the coordinates of triangle \( A'B'C' \):

  • \( A' = (5, -1) \)
  • \( B' = (5, -9) \)
  • \( C' = (2, -7) \)

Now, reflecting each point across the y-axis:

  1. For point \( A' = (5, -1) \):

    • New coordinates: \( A" = (-5, -1) \)

  2. For point \( B' = (5, -9) \):

    • New coordinates: \( B" = (-5, -9) \)

  3. For point \( C' = (2, -7) \):

    • New coordinates: \( C" = (-2, -7) \)

Thus, the new coordinates after reflecting triangle \( A'B'C' \) across the y-axis to create triangle \( A"B"C" \) are:

  • \( A" = (-5, -1) \)
  • \( B" = (-5, -9) \)
  • \( C" = (-2, -7) \)