Series of Transformation Rules (No Dilations)

What is the rule when you translate an image 5 down, 2 to the right, and then rotate 180°?

• (x,y) → (-x-2, -y+5)

• (x,y) → (x+2, y-5)

• (x,y) → (-y+5, -x-2)

• (x,y) → (y-5, x+2)

What is the rule when you translate an image 3 to the left, up 2, and then 90°CW around the origin?

• (x, y) → (y+2, -x+3)

• (x, y) → (-y-2, x-3)

• (x, y) → (-x+3, y+2)

• (x, y) → (x-3, -y-2)

What is the rule when you rotate an image 270°CW around the origin and then reflect it over the line
 $y=x$  ?

• (x,y) → (-x, y)

• (x,y) → (-y, x)

• (x,y) → (x, -y)

• (x,y) → (y, -x)

What is the rule when you reflect an image over the x-axis and then rotate it 90°CCW around the origin?

• (x,y) → (-y, x)

• (x,y) → (y, x)

• (x,y) → (x, -y)

• (x,y) → (-y, -x)

What is the rule when you reflect over the line  $y=-x$  
and then rotate 270°CCW around the origin?

• (x,y) → (-y, x)

• (x,y) → (-x, -y)

• (x,y) → (-y, -x)

• (x,y) → (-x, y)

What is the rule when you translate and image 6 units down, 3 units to the right, and then reflect over the y-axis?

• (x,y) → (-x-3, y-6)

• (x,y) → (-x+3, y-6)

• (x,y) → (y-6, -x-3)

• (x,y) → (-y+6, -x+3)

What is the rule when you reflect over the line 
 $y=-x$  , translate it 4 up and 7 left, and then rotate it 90°CCW?

• (x,y) → (-x+4, y+7)

• (x,y) → (-x+4, -y-7)

• (x,y) → (x-4, -y-7)

• (x,y) → (x-4, y+7)

Describe the transformation(s) that maps  $\Delta CBX$  
to  $\Delta DCX$  .

• Reflect over line CX

• Rotate 90°CW around point X

• Rotate 60°CW around point X

Describe the transformation(s) that maps  $\Delta DXE$  
to  $\Delta FXE$  .

• Reflect over line EX

• Rotate 90°CW around point X

• Rotate 60°CW around point X

Describe the transformation(s) that maps  $\Delta ABX$  
to  $\Delta CDX$  .

• Rotate 180° around point X

• Rotate 120°CW around point X

• Reflect over line BX and then rotate 60°CW