Coordinate Transformations

Describe a 90^o counterclockwise rotation using coordinate notation.

• ( x , y ) --> ( y , -x )

• ( x , y ) --> ( -y , x )

• ( x , y ) --> ( -y , -x )

• ( x , y ) --> ( -x , -y )

Rotate the point (7,8) around the origin 90 counter clockwise degrees. State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Translate the point A (-3, 4) right 5 and up 1

• (-2, 9)

• (-8, 5)

• (8, 3)

• (2, 5)

Describe the translation in words. ( x , y ) --> ( x - 4 , y + 8 )

• 4 left , 8 up

• 4 down, 8 right

• 4 left, 8 down

• 4 right, 8 down

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

Determine where T' would be if you translated T 3 units to the right and 6 units up.

• (5, 1)

• (2, -5)

• (-1, 1)

• (8, -2)

Triangles ΔABC and ΔA'B'C' are graphed in the standard (x,y) coordinate plane below. Triangle ΔA'B'C' is the image of ΔABC under one of the following transformations. Which one?

• Horizontal translation

• Reflection across the x-axis

• Reflection across the y-axis

Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________

• ( -x, -y)

• ( -y, x)

• ( -x, y)

• (y, -x)

Triangles Δ ABC and Δ A'B'C' are graphed in the standard (x,y) coordinate plane below. Triangle Δ A'B'C' is the image of Δ ABC under one of the following transformations. Which one?

• Horizontal translation

• Reflection across the x-axis

• Reflection across the y-axis

Triangles Δ ABC and Δ A'B'C' are graphed in the standard (x,y) coordinate plane below. Triangle Δ A'B'C' is the image of Δ ABC under one of the following transformations. Which one?

• Horizontal translation

• Reflection across the x-axis

• Reflection across the y-axis