Question

Point K lies at (-3,4). Point K reflected over the y-axis and then translated 7 units down to produce K. Which coordinate system was used to produce K from K?

a. Cartesian coordinate system
b. Polar coordinate system
c. Geographic coordinate system
d. None of the above

Answer 1

The Cartesian coordinate system is used to reflect point K over the y-axis and then translate it 7 units down, resulting in the new position of point K'.

Step-by-step explanation:

The coordinate system used to produce point K from point K is the Cartesian coordinate system. When a point is reflected over the y-axis, its x-coordinate changes sign, so the reflection of (-3,4) over the y-axis would be (3,4). A translation of 7 units down is represented by subtracting 7 from the y-coordinate, which would adjust (3,4) to (3,-3). Therefore, K' would be placed in the Cartesian coordinate system after the transformation.