Coordinate Transformations

Describe the translation that occurred between BEL and B'E'L' using coordinate notation.

• ( x , y ) --> ( x - 4 , y + 2 )

• ( x , y ) --> ( x + 4 , y - 2 )

• ( x , y ) --> ( x - 2 , y + 4 )

• ( x , y ) --> ( x + 2 , y - 4 )

Describe the translation that occurred between ALP and A'L'P' using coordinate notation.

• ( x , y ) --> ( x - 1 , y + 3 )

• ( x , y ) --> ( x + 1 , y - 3 )

• ( x , y ) --> ( x - 3 , y + 1 )

• ( x , y ) --> ( x + 3 , y - 1 )

Describe the rotation that occurred between THY and T'H'Y' using coordinate notation.

• ( x , y ) --> ( -x , -y )

• ( x , y ) --> ( -y , -x )

• ( x , y ) --> ( -y , x )

• ( x , y ) --> ( y , -x )

Describe the reflection that occurred between AGRW and A'G'R'W' using coordinate notation.

• ( x , y ) --> ( x , -y )

• ( x , y ) --> ( y , -x )

• ( x , y ) --> ( y , x )

• ( x , y ) --> ( -x , y )

Describe the dilation that occurred between DEFG and D'E'F'G' using coordinate notation.

• ( x , y ) --> ( 2x , 2y )

• ( x , y ) --> ( x + 2 , y + 2 )

• ( x , y ) --> ( 1/2x , 1/2y )

• ( x , y ) --> ( 2y , 2x )

Describe the dilation that occurred between A ( 8 , 12 ) and A' ( 2 , 3 ) using coordinate notation.

• ( x , y ) --> ( 1/4x , 1/4y )

• ( x , y ) --> ( 4x , 4y )

• ( x , y ) --> ( -4x , -4y )

• ( x , y ) --> ( x + 4 , y + 4 )

Describe the reflection that occurred between A ( 5 , 10 ) and A' ( -5 , 10 ) using coordinate notation.

• ( x , y ) --> ( -x , y )

• ( x , y ) --> ( x , -y )

• ( x , y ) --> ( -y , -x )

• ( x , y ) --> ( -x , -y )

Describe the rotation that occurred between A ( 2 , 3 ) and A' ( 3 , -2 ) using coordinate notation.

• ( x , y ) --> ( y , -x )

• ( x , y ) --> ( -y , x )

• ( x , y ) --> ( -y , -x )

• ( x , y ) --> ( -x , -y )

Describe the translation that occurred between A ( 1 , 8 ) and A' ( 5 , 10 ) using coordinate notation.

• ( x , y ) --> ( x + 4 , y + 2 )

• ( x , y ) --> ( x + 2 , y + 4 )

• ( x , y ) --> ( x - 4 , y - 2 )

• ( x , y ) --> ( x - 2 , y - 4 )

Find the point A' if A ( 7 , 9 ) was transformed by ( x , y ) --> ( 2x , 2y ).

• ( 14 , 18 )

• ( 9 , 11 )

• ( 3.5 , 4.5 )

• ( 5 , 7 )