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Question
The triangle is reflected across the y-axis, and then reflected across the x-axis.



What are the coordinates of the image of point C after the transformations? Enter the answer in the boxes.

Answer 1

To determine the coordinates of point C after the transformations, we first need to understand how reflection across the y-axis and then the x-axis affects the point's coordinates.

1. Reflecting across the y-axis:

   • This transformation changes the x-coordinate of the point to its opposite. Therefore, if point C has coordinates \((x, y)\), after reflecting it across the y-axis, the new coordinates will be \((-x, y)\).

2. Reflecting across the x-axis:

   • This transformation changes the y-coordinate of the point to its opposite. So, if the coordinates after the first reflection are \((-x, y)\), after reflecting across the x-axis, the coordinates will become \((-x, -y)\).

If you provide the original coordinates of point C, I can help you calculate the final coordinates after both transformations.

Answer 2

1 y 1 x

Answer 3

It appears that you provided the coordinates of point C as \( (1, 1) \). Let's apply the reflections:

1. Reflect across the y-axis:

   • The original coordinates of point C are \( (1, 1) \).
   • Reflecting across the y-axis gives us \( (-1, 1) \).

2. Reflect across the x-axis:

   • Taking the coordinates after the first reflection, \( (-1, 1) \).
   • Reflecting this point across the x-axis gives us \( (-1, -1) \).

Thus, after both transformations, the coordinates of the image of point C are \( (-1, -1) \).