If you reflect triangle fgh across the y- axis what will be the coordinates of the vertices of the image triangle fgh?

4th Option is correct.

Step-by-step explanation:

Given:

Coordinate of the vertex of the ΔFGH is F( -2 , -1 ) , G( 2 , 2 ) and H( 4 , -3 )

To find: Coordinate of the image of the  ΔFGH (.i.e., ΔF'G'H' ) when ΔFGH is reflected over y-axis.

We know that when a point ( x , y ) reflected over y-axis , the y-coordinate remains the same but the x-coordinate is transformed into its opposite .i.e., ( -x , y )

So, Image of the Vertex F( -2 , -1 ) = F'( -(-2) , -1 ) = F'( 2 , -1 )

Image of the Vertex G( 2 , 2 ) = G'( -2 , 2 )

Image of the Vertex H( 4 , -3 ) = H'( -4 , -3 )

Therefore , 4th Option is correct.

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