Question

Now reflect △A′B′C′ across the y-axis to create △A"B"C" . What are the new coordinates?(3 points)

Answer 1

To reflect a triangle across the y-axis, you change the sign of the x-coordinates of each vertex while keeping the y-coordinates the same.

Let's denote the original coordinates of triangle \( \triangle A'B'C' \) as \( A'(x_1, y_1), B'(x_2, y_2), C'(x_3, y_3) \).

The new coordinates after reflecting across the y-axis will be:
- \( A"(x_1', y_1) \)
- \( B"(x_2', y_2) \)
- \( C"(x_3', y_3) \)

where:
- \( A"(x_1', y_1) = (-x_1, y_1) \)
- \( B"(x_2', y_2) = (-x_2, y_2) \)
- \( C"(x_3', y_3) = (-x_3, y_3) \)

If you provide the coordinates of \( A', B', \) and \( C' \), I can help calculate the specific new coordinates for \( A", B", \) and \( C" \).