Question

Bradley says that if point b is reflected across the y-axis and it's reflection is then reflected across the x -axis, the result is point D . Is Bradley correct? explain.

Answer 1

Bradley is not correct

see the explanation

Explanation:

The picture of the question in the attached figure

step 1

Reflection across the y-axis

we know that

The rule of the reflection of a point across the y-axis is given by

(x,y) ----> (-x,y)

The x-coordinate changes sign, and the y-coordinate remains the same

so

The coordinates of point B are (4,-4)

Applying the rule of the reflection across the y-axis

B(4,-4) -----> B'(-4,-4)

step 2

Reflection across the x-axis

we know that

The rule of the reflection of a point across the x-axis is given by

(x,y) ----> (x,-y)

The y-coordinate changes sign, and the x-coordinate remains the same

so

The coordinates of point B' are (-4,-4)

Applying the rule of the reflection across the y-axis

B'(-4,-4) -----> B''(-4,4)

step 3

Compare the coordiantes of point B'' with the coordinates of point D

B''(-4,4)

D(-2,4)

therefore

Bradley is not correct

Point B'' is not the same that point D