Question

When the triangle is reflected over the x-axis and translated left 4 units, what are

the new points of the triangle?*
.

(-6,2) (-4,8) (2,4)
(6,2) (4-8) (-2,-4)
(8,-12) (14,-3) (-6,-7)
(5,-1) (2-3) (-1,-10)

Answer 1

Option B.

Explanation:

From the given figure it is clear that, the vertices of triangle are (2,4), (8,8), (10,2).

If triangle is reflected over the x-axis, then

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

`(2,4)\rightarrow (2,-4)`

`(8,8)\rightarrow (8,-8)`

`(10,2)\rightarrow (10,-2)`

If triangle translated left 4 units, then

`(x,y)\rightarrow (x-4,y)`

`(2,-4)\rightarrow (2-4,-4)=(-2,-4)`

`(8,-8)\rightarrow (8-4,-8)=(4,-8)`

`(10,-2)\rightarrow (10-4,-2)=(6,-2)`

Therefore, the correct option is B.