Reflections and Translations Coordinate Rules

Which coordinate rule correctly shows reflecting the original coordinate ( x , y ) over the x-axis?

• ( -x , y )

• ( x , -y )

• ( y , x )

• ( x , y )

Which coordinate rule correctly shows reflecting the original coordinate ( x , y ) over the y-axis?

• ( -x , y )

• ( x , -y )

• ( y , x )

• ( x , y )

Taking the point ( 6 , 8 ) and reflecting it over the y-axis would result in what coordinates?

• ( 6 , -8 )

• ( -6 , 8 )

• ( -6 , -8 )

• ( 8 , 6 )

The vertices of a rectangle are E(-2,2), F(-5,2), G(-5,4), H(-2,4). Reflect the figure in the x-axis, then translate the image 6 units right. What are the coordinates of the final rectangle?

Is the picture being reflected in the y-axis or x-axis?

• y-axis

• x-axis

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for L''.

• (1,-2)

• (1,2)

• (-1,-2)

• (-2,-1)

Triangle ABC is reflected over the x-axis, rotated 270 degrees clockwise around the origin, and reflected over y= -x. What is the quadrant of the final image?

• I

• II

• III

• IV

Match the following algebraic representation to the verbal description.

• Reflect over the x-axis

• Reflect over y-axis

• (x + 4, y - 2)

• to the right 4 units and down 2 units

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for K''.

• (1,3)

• (-1,-3)

• (1,-3)

• (-3,-1)

• reflected

• x-axis

• 3

• right