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 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• (-2, 9)

• (-8, 5)

• (8, 3)

• (2, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.HSG.CO.A.2

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

• ( -x, -y)

• ( -y, x)

• ( -x, y)

• (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.3