Question
If triangle DEF coordinates are D- (1,3), E- (3,1), and F- (2,-2) is rotated 180 degrees clockwise around the origin, what will be the coordinates of point E' in the image?
Answers
GPT-4o mini
To find the coordinates of point \( E' \) after rotating point \( E \) through 180 degrees clockwise around the origin, we can use the property that a rotation of 180 degrees around the origin transforms a point \( (x, y) \) to \( (-x, -y) \).
The coordinates of point \( E \) are \( (3, 1) \). Applying the rotation:
\[
E' = (-3, -1)
\]
Thus, the coordinates of point \( E' \) in the image after rotating the triangle 180 degrees clockwise around the origin are \( \boxed{(-3, -1)} \).
The coordinates of point \( E \) are \( (3, 1) \). Applying the rotation:
\[
E' = (-3, -1)
\]
Thus, the coordinates of point \( E' \) in the image after rotating the triangle 180 degrees clockwise around the origin are \( \boxed{(-3, -1)} \).