Question

now check predictions draw the lines of reflection y=x and y=-x, then reflext quadrilateral ABCD about the .....

Answer 1

A reflection across the line y=x can be described by the rule:

`(x,y)\longrightarrow(y,x)`

We can deduce this from the graph:

For example, a point that is (1,3) will have its image at (3,1).

In the case of a reflection across the line y=-x, we have the following graph:

The rule is:

`(x,y)\longrightarrow(-y,-x)`

For example, for the point (1,2), its image will be (-2,-1).