Transformations Practice - Algebraic Representation

Which is the Algebraic Representation for a translation?

• $\left(x,y\right)\rightarrow\left(x\pm a,\ y\pm b\right)$

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the Algebraic Representation for a rotation   $90\degree$  clockwise or  $270\degree$  counter-clockwise?

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the Algebraic Representation for a rotation   $270\degree$  clockwise or  $90\degree$  counter-clockwise?

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the Algebraic Representation for a dilation?

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

Which is the Algebraic Representation for a Reflection over the y-axis?

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the Algebraic Representation for a Rotation of  $180\degree$  either clockwise or counter-clockwise

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the Algebraic Representation for a Reflection over the x-axis?

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

• $\left(x,y\right)\ \rightarrow\ \left(kx,\ ky\right)$

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the four transformations preserves congruence? Choose all that apply!

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.HSG.CO.A.2

Which type of transformation?   $\left(x,y\right)\ \rightarrow\ \left(x-8,\ y+7\right)$  

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which type of transformation?   $\left(x,y\right)\ \rightarrow\ \left(\frac{1}{4}x,\ \frac{1}{4}y\right)$  

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.3