Question

A triangle has corners at `(3, -5 )`, ( 2 , -1)`, and`( 4 , 3)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

Answer 1

`(3,-5)to(3,5),(2,-1)to(2,1),(4,3)to(4,-3)`

Explanation:

Under a reflection in the x-axis a point

`color(red)(|bar(ul(color(white)(a/a)color(black)((x,y)to(x,-y))color(white)(a/a)|)))`

Under a reflection in the y-axis a point

`color(red)(|bar(ul(color(white)(a/a)color(black)((x,y)to(-x,y)color(white)(a/a)|)))`

`rArr(3,-5)to(3,5),(2,-1)to(2,1)" and " (4,3)to(4,-3)`