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 triangle QRS 180° around the origin, we start by identifying the coordinates of point S.
The coordinates of point S are (2, 1).
When a point \( (x, y) \) is rotated 180° about the origin, its new coordinates \( (x', y') \) can be found using the following transformations:
\[
x' = -x
\]
\[
y' = -y
\]
For point S (2, 1):
\[
x' = -2
\]
\[
y' = -1
\]
Thus, the coordinates of point S' after the rotation are (-2, -1).
Looking at the options you've provided, none of them match (-2, -1). Therefore, it seems there is no correct option among the given choices.
However, if the question were stated about point R or Q, it might yield one of the provided options. Under the assumptions originally noted, the coordinates of S' would indeed be \((-2, -1)\).
The coordinates of point S are (2, 1).
When a point \( (x, y) \) is rotated 180° about the origin, its new coordinates \( (x', y') \) can be found using the following transformations:
\[
x' = -x
\]
\[
y' = -y
\]
For point S (2, 1):
\[
x' = -2
\]
\[
y' = -1
\]
Thus, the coordinates of point S' after the rotation are (-2, -1).
Looking at the options you've provided, none of them match (-2, -1). Therefore, it seems there is no correct option among the given choices.
However, if the question were stated about point R or Q, it might yield one of the provided options. Under the assumptions originally noted, the coordinates of S' would indeed be \((-2, -1)\).