Single Transformations

Which transformation is described by the rule:
   $\left(x,y\right)\ \rightarrow\ \left(x,\ -y\right)$  

• reflection across the x-axis

• reflection across the y -axis

• rotation  $90\degree$  counter-clockwise about the origin

• rotation  $90\degree$  clockwise about the origin

• rotation  $180\degree$  about the origin

Which transformation is described by the rule:
 $\left(x,\ y\right)\rightarrow\left(x-3,\ y\right)$  

• translate right 3

• translate left 3

• translate up 3

• translate down 3

Which transformation is described by the rule:
(x, y) -------> (x, y - 2) is a translation of 2 units up.  $\left(x,\ y\right)\rightarrow\left(x,\ y+2\right)$  

• translation 2 up

• translation 2 down

• translation 2 left

• translation 2 right

C(-6, 2) and B(-1, -1)
Reflect over the line y = x

• C' (-6, 2), B' (-1, -1)
• C' (6, 2), B' (1, -1)
• C' (2, -6), B' (-1, -1)
• C' (-6, -2), B' (-1, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

C(-6, 2) and B(-1, -1)

Rotate 90 degrees counterclockwise about the origin.

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-2, -6), B' (1, -1)

A(-2, 2) and B(3, 2)

Rotate 180 degrees about the origin.

• A' (-2, 2), B' (3, 2)

• A' (-2, -2), B' (-3, -2)

• A' (2, -2), B' (-3, -2)

• A' (2, -2), B' (2, 3)

A(-2, 2) and B(3, 2)
Reflect over the x-axis 

• A' (-2, 2), B' (3, 2)
• A' (-2, -2), B' (3, -2)
• A' (2, -2), B' (-3, -2)
• A' (2, -2), B' (2, 3)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

C(-6, 2) and B(-1, -1)
 $\left(x,\ y\right)\rightarrow\left(x-1,\ y-3\right)$  

• C' (-6, 2), B' (-1, -1)

• C' (-7, -1), B' (-2, -4)

• C' (-5, 5), B' (0, 2)

• C' (-7, 1), B' (-2, -2)

C(-6, 2) and B(-1, -1)
Translate (x, y) -> (x + 3, y - 1)

• C' (-3, 1), B' (2, -2)
• C' (3, -1), B' (-2, -4)
• C' (-9, 1), B' (-4, -2)
• C' (-7, 1), B' (-2, -2)

Tags

CCSS.HSG.CO.A.2

Write a rule for the translation.

• $\left(x,\ y\right)\rightarrow\left(x-1,\ y+2\right)$

• $\left(x,\ y\right)\rightarrow\left(x-2,\ y+1\right)$

• $\left(x,\ y\right)\rightarrow\left(x+2,\ y-1\right)$

• $\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)$