The transformation that would take point C (1,5) to point C' (-1,5) is a reflection over the y-axis.
To determine this transformation, let's graph both points C and C' on a coordinate plane:
Point C (1,5):
- The x-coordinate is 1, which means it is one unit to the right of the y-axis.
- The y-coordinate is 5, which means it is 5 units above the x-axis.
Point C' (-1,5):
- The x-coordinate is -1, which means it is one unit to the left of the y-axis.
- The y-coordinate is 5, which means it is 5 units above the x-axis.
By comparing the x-coordinates of C and C', we can see that C' is the reflection of C over the y-axis. The y-coordinate remains the same, indicating that the points are horizontally aligned.
Therefore, the transformation that takes C (1,5) to C' (-1,5) is a reflection over the y-axis.