Question

a line that runs vertically on the coordinate plane and is used as a reference for reflections is the ____. when reflecting a shape over the x - axis, the shape is flipped __. reflecting a shape over the line ( y = x ) means swapping the ____.

Explanation:

First Question:

In coordinate geometry, a vertical line used as a reflection reference (like the y - axis, which is vertical) is the axis of reflection. Specifically, the y - axis is vertical and is a common axis for reflections. So the blank should be filled with "y - axis".

When reflecting a shape over the x - axis, the transformation is a flip over the horizontal x - axis. This means the shape is flipped vertically (up - down). So the blank should be filled with "vertically (or over the x - axis, but more precisely, vertically)".

When reflecting a shape over the line \(y = x\), the rule for the coordinates of a point \((x,y)\) is that it becomes \((y,x)\). So we are swapping the x - coordinate and the y - coordinate. So the blank should be filled with "x - coordinate and y - coordinate (or x and y coordinates)".

Answer:

y - axis

Second Question: