Complete the following table: Point Reflection in x -axis y -axis origin 8 , 2

We know that, When a point ( x , y ) is reflected in x -axis, the sign of its second component (ordinate) changes, i.e., the sign of y changes and so the image of ( x , y ) in x -axis is ( x , - y ) . When a point ( x , y ) is reflected in y -axis, the sign of its first component (abscissa) changes, i.e., the sign of x changes and so the image of ( x , y ) in y -axis is ( - x , y ) . When a point ( x , y ) is reflected in origin, the signs of both of its components changes. i.e., the image of p ( x , y ) in y -axis is p ' ( - x , y ) . It is given that, a point 8 , 2 is reflection in x -axis is 8 , - 2 , reflection in y -axis is - 8 , 2 and the reflection of origin is - 8 , - 2 . Hence, the required answer is as shown below. Point Reflection in x -axis y -axis origin 8 , 2 8 , - 2 - 8 , 2 - 8 , - 2

Complete the following table: Point Reflection in x -axis y -axis origin 5 , 6

We know that, When a point ( x , y ) is reflected in x -axis, the sign of its second component (ordinate) changes, i.e., the sign of y changes and so the image of ( x , y ) in x -axis is ( x , - y ) . When a point ( x , y ) is reflected in y -axis, the sign of its first component (abscissa) changes, i.e., the sign of x changes and so the image of ( x , y ) in y -axis is ( - x , y ) . When a point ( x , y ) is reflected in origin, the signs of both of its components changes. i.e., the image of p ( x , y ) in y -axis is p ' ( - x , y ) . It is given that, a point 5 , 6 is reflection in x -axis is 5 , - 6 , reflection in y -axis is - 5 , 6 and the reflection of origin is - 5 , - 6 . Hence, the required answer is as shown below. Point Reflection in x -axis y -axis origin 5 , 6 5 , - 6 - 5 , 6 - 5 , - 6

Complete the following table: Point Reflection in x -axis y -axis origin 4 , - 5

We know that, When a point ( x , y ) is reflected in x -axis, the sign of its second component (ordinate) changes, i.e., the sign of y changes and so the image of ( x , y ) in x -axis is ( x , - y ) . When a point ( x , y ) is reflected in y -axis, the sign of its first component (abscissa) changes, i.e., the sign of x changes and so the image of ( x , y ) in y -axis is ( - x , y ) . When a point ( x , y ) is reflected in origin, the signs of both of its components changes. i.e., the image of p ( x , y ) in y -axis is p ' ( - x , y ) . It is given that, a point 4 , - 5 is reflection in x -axis is 4 , 5 , reflection in y -axis is - 4 , - 5 and the reflection of origin is - 4 , 5 . Hence, the required answer is as shown below. Point Reflection in x -axis y -axis origin 4 , - 5 4 , 5 - 4 , - 5 - 4 , 5