Now reflect △A′B′C′ A'(1, 5) B'(7, 2) C'(9, 5)

across the y-axis to create △A"B"C"
. What are the new coordinates?

1 answer

To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

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

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

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

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