Question
Point D is at . Point D is reflected across the y-axis to become point E.
The coordinates of point E are .
Point E is located in quadrant .
The coordinates of point E are .
Point E is located in quadrant .
Answers
GPT-4o mini
To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.
1. If point D has coordinates \( (x, y) \), the coordinates of point E after reflection across the y-axis will be \( (-x, y) \).
2. Depending on the values of \( x \) and \( y \):
- If both \( x \) and \( y \) are positive, point D is in quadrant I and point E will be in quadrant II.
- If \( x \) is negative and \( y \) is positive, point D is in quadrant II and point E will be in quadrant I.
- If \( x \) is negative and \( y \) is negative, point D is in quadrant III and point E will be in quadrant IV.
- If \( x \) is positive and \( y \) is negative, point D is in quadrant IV and point E will be in quadrant III.
Without the specific coordinates provided for point D, I can't give the exact coordinates of point E or determine its quadrant. If you provide the coordinates of point D, I can help you find the coordinates of point E and identify its quadrant!
1. If point D has coordinates \( (x, y) \), the coordinates of point E after reflection across the y-axis will be \( (-x, y) \).
2. Depending on the values of \( x \) and \( y \):
- If both \( x \) and \( y \) are positive, point D is in quadrant I and point E will be in quadrant II.
- If \( x \) is negative and \( y \) is positive, point D is in quadrant II and point E will be in quadrant I.
- If \( x \) is negative and \( y \) is negative, point D is in quadrant III and point E will be in quadrant IV.
- If \( x \) is positive and \( y \) is negative, point D is in quadrant IV and point E will be in quadrant III.
Without the specific coordinates provided for point D, I can't give the exact coordinates of point E or determine its quadrant. If you provide the coordinates of point D, I can help you find the coordinates of point E and identify its quadrant!