Andrea has to find a third point C to form a triangle on the coordinate plane show, she is told the coordinates of its reflection point C across the x-axis are ( 2, -2 ) what are the coordinates of point C? The coordinates of A are ( 5, 1) the coordinates of B are ( 3. 5, 3. 5, )
Since point C is the reflection of point C' across the x-axis, the y-coordinate of C' will be negated to get the y-coordinate of C.
Given that C' has the coordinates (2, -2), the x-coordinate of C will remain the same as the x-coordinate of C'.
Therefore, the coordinates of point C are (2, 2).
To find the coordinates of point C, we need to determine the reflection across the x-axis from the given coordinates of its reflection point C' (2, -2).
The reflection across the x-axis can be obtained by keeping the x-coordinate the same and changing the sign of the y-coordinate.
Given coordinates of point C' across the x-axis: (2, -2)
To find the coordinates of point C:
- Keep the x-coordinate of C' the same: x-coordinate of C = 2.
- Change the sign of the y-coordinate of C': y-coordinate of C = -(-2) = 2.
Therefore, the coordinates of point C are (2, 2).