Algebraic Representation of Rotation & Translation

Triangle DEF was rotated 90^o clockwise about the origin to create triangle D'E'F'.

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

Triangle ABC was rotated 90^o counter-clockwise about the origin to create triangle A'B'C'.

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

Pentagon VWXYZ is shown on the coordinate grid. A student rotated pentagon VWXYZ 180^o about the origin to create pentagon V'W'X'Y'Z'.

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

Parallelogram DEFG was rotated 270^o clockwise.

What is the algebraic representation for this transformation?

• (y, -x)

• (-y, x)

• (-x, y)

• (-x, -y)

Parallelogram EFGH was rotated 180^o counter-clockwise.

What is the algebraic representation of this transformation?

• (x, y)-->(x-8, y-4)

• (x, y)-->(x+8, y+4)

• (x, y)-->(-x, -y)

• (-x, -y)-->(x, y)

Point H was rotated 270^o counter-clockwise about the origin to create triangle point H'.

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

 $\left(x,\ y\right)\rightarrow\ \left(y,-x\right)$  

Select all that apply.

• 90° clockwise

• 90° counter-clockwise

• 180° clockwise & counter-clockwise

• 270° counter-clockwise

• 270° clockwise

 $\left(x,\ y\right)\rightarrow\ \left(-y,\ x\right)$  

Select all that apply.

• 90° clockwise

• 90° counter-clockwise

• 180° clockwise & counter-clockwise

• 270° counter-clockwise

• 270° clockwise

 $\left(x,\ y\right)\rightarrow\ \left(-x,-y\right)$  

Select all that apply.

• 90° clockwise

• 90° counter-clockwise

• 180° clockwise & counter-clockwise

• 270° counter-clockwise

• 270° clockwise

Rotated 90° clockwise

• $\left(x,\ y\right)\rightarrow\left(y,-x\right)$

• $\left(x,\ y\right)\rightarrow\left(-y,\ x\right)$

• $\left(x,\ y\right)\rightarrow\left(-x,\ -y\right)$

• $\left(x,\ y\right)\rightarrow\left(-y,-x\right)$