# A triangle has corners at (2, -5 ), ( 6 , 1), and ( 1 , -2). What will the new coordinates of the triangle be if it is reflected across the x-axis?

May 12, 2016

(2 ,5) , (6 ,-1) , (1 ,2)

#### Explanation:

When a point (x ,y) is reflected across the x-axis then.

color(red)(|bar(ul(color(white)(a/a)color(black)( (x ,y) → (x ,-y))color(white)(a/a)|)))#

Applying this to each of the 3 corners gives.

(2 ,-5) → (2 ,5)

(6 ,1) → (6 ,-1)

(1 ,-2) → (1 ,2)