Question
A (5,1) And B(3.5,3.5)
Andrea has to find a third point, C, to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point, C', across the z-axis are (2,-2). What are the coordinates of point C?
Andrea has to find a third point, C, to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point, C', across the z-axis are (2,-2). What are the coordinates of point C?
Answers
GPT-4o mini
To find the coordinates of point C, we start with the reflection point C' across the z-axis, which is given as (2, -2). The reflection of a point (x, y) across the z-axis is (x, -y).
If C' is (2, -2), we can find the coordinates of point C by negating the y-coordinate of C' to find the original point.
Since:
- The reflection point C' is (2, -2), we have:
- x-coordinate of C = x-coordinate of C' = 2
- y-coordinate of C = -y-coordinate of C' = -(-2) = 2
Thus, the coordinates of point C are:
\[
C(2, 2)
\]
If C' is (2, -2), we can find the coordinates of point C by negating the y-coordinate of C' to find the original point.
Since:
- The reflection point C' is (2, -2), we have:
- x-coordinate of C = x-coordinate of C' = 2
- y-coordinate of C = -y-coordinate of C' = -(-2) = 2
Thus, the coordinates of point C are:
\[
C(2, 2)
\]