Def has vertices d(1,4) e(3,5) f(2,1). if you reflect def across the x axis what will be the coordinates of the vertices

Coordinate of vertices after reflection are ( 1 , -4 ) , ( 3 , -5 ) and ( 1 , - 1 )

Step-by-step explanation:

Given Coordinates are D( 1 , 4 ) , E( 3 , 5 ) and F( 2 , 1 )

To find: Coordinates of the vertices when given vertices reflected across x-axis.

We know that when a coordinate reflected over x-axis then only y-coordinate changes.

If ( x , y ) reflected over x-axis then we get ( x , -y ).

After reflections,

Coordinate of vertices D' = ( 1 , -(4) ) = ( 1 , -4 )

Coordinate of vertices E' = ( 3 , -(5) ) = ( 3 , -5 )

Coordinate of vertices F' = ( 2 , -(1) ) = ( 1 , -1 )

Therefore, Coordinate of vertices after reflection are ( 1 , -4 ) , ( 3 , -5 ) and ( 1 , - 1 )