Question

What is the equation for the line of reflection

Answer 1

The correct option is B.

Explanation:

The coordinates of polygon ABCDE are A(-2,2), B(-1,2), C(1,1), D(0,-1) and E(-2,1).

The coordinates of polygon A'B'C'D'E' are A'(2,2), B'(1,2), C'(-1,1), D'(0,-1) and E'(2,1).

The relation between preimage and image is

`P(x,y)\rightarrow P'(-x,y)`

From the given figure it is clear that the figure ABCDE reflected across the y-axis.

If a figure reflected across the y-axis, then

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

The equation of y-axis is x=0, so the given figure reflected across x=0.

Therefore the correct option is B.

Answer 2

B

Explanation:

The image is a reflection of the original in the y- axis

The equation of the y- axis is x = 0 → B