Question

If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (5 points) Group of answer choices(−1, 4)(1, −4)(4, −1)(−4, 1)

Answer 1

A reflection over the x-axis is given by:

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

A reflection over the y-axis is given by:

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

A rotation of 180° is given by:

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

The coordinates of point B are (-1,4) if we perform the transformations stated above we get:

`(-1,4)\rightarrow(-1,-4)\rightarrow(1,-4)\rightarrow(-1,4)`

Therefore, the coordinates of B' are (-1,4)