Question
Now reflect △A′B′C′
across the y-axis to create △A"B"C"
. What are the new coordinates?(3 points)
across the y-axis to create △A"B"C"
. What are the new coordinates?(3 points)
Answers
GPT-4o mini
To reflect a triangle across the y-axis, you will change the sign of the x-coordinates of the vertices while keeping the y-coordinates the same.
Let's say the vertices of triangle \( \triangle A'B'C' \) have the following coordinates:
- \( A' (x_1, y_1) \)
- \( B' (x_2, y_2) \)
- \( C' (x_3, y_3) \)
After reflecting across the y-axis, the new coordinates for triangle \( \triangle A"B"C" \) will be:
- \( A" (-x_1, y_1) \)
- \( B" (-x_2, y_2) \)
- \( C" (-x_3, y_3) \)
If you provide the specific coordinates of points \( A', B', \) and \( C' \), I can calculate the new coordinates for \( A", B", \) and \( C" \) after the reflection.
Let's say the vertices of triangle \( \triangle A'B'C' \) have the following coordinates:
- \( A' (x_1, y_1) \)
- \( B' (x_2, y_2) \)
- \( C' (x_3, y_3) \)
After reflecting across the y-axis, the new coordinates for triangle \( \triangle A"B"C" \) will be:
- \( A" (-x_1, y_1) \)
- \( B" (-x_2, y_2) \)
- \( C" (-x_3, y_3) \)
If you provide the specific coordinates of points \( A', B', \) and \( C' \), I can calculate the new coordinates for \( A", B", \) and \( C" \) after the reflection.