Question

if the triangle ABC is reflected over the y-axis which point(s) will be their own image(s)? can you please check my answer?

Answer 1

We are asked to determine the images of the points of a triangle when reflected over the y-axis. To do that, let's remember the formula for a refection over the y-axis:

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

The coordinate of point A is (4,-1), when reflected we get:

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

The coordinates of point B are (0,3) when reflected we get:

$(0,3)\rightarrow(0,3)$

The coordinates of point C are (-2,0) when reflected we get:

$(-2,0)\rightarrow(2,0)$

Therefore, the only point that is its same image is point B.