Question
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
Answers
GPT-4o mini
To find the coordinates of point S' after rotating point S (2, 1) by 180° about the origin, you can use the rule for rotation:
For a rotation of 180° about the origin, the coordinates of a point (x, y) change to (-x, -y).
Applying this to point S (2, 1):
1. Take the x-coordinate: 2 becomes -2.
2. Take the y-coordinate: 1 becomes -1.
Thus, the coordinates of point S' after the rotation are (-2, -1).
Since this coordinate does not match any of the options provided (2, 1), (1, –2), (–1, –2), (2, –1), it seems that there might be a misinterpretation of the original points or triangle labeling.
Please verify the coordinates of point S in your question. If S is indeed (2, 1), then S' should be (-2, -1) after the 180° rotation.
For a rotation of 180° about the origin, the coordinates of a point (x, y) change to (-x, -y).
Applying this to point S (2, 1):
1. Take the x-coordinate: 2 becomes -2.
2. Take the y-coordinate: 1 becomes -1.
Thus, the coordinates of point S' after the rotation are (-2, -1).
Since this coordinate does not match any of the options provided (2, 1), (1, –2), (–1, –2), (2, –1), it seems that there might be a misinterpretation of the original points or triangle labeling.
Please verify the coordinates of point S in your question. If S is indeed (2, 1), then S' should be (-2, -1) after the 180° rotation.