Symmetry and Mapping in the Coordinate Plane

When you translate (x,y+6) or T_{<0,6> ,} the figure will move _____.

• 6 units right

• 6 units left

• 6 units up

• 6 units down

What rigid motion maps the solid-line figure onto the dotted-line figure?

• reflection

• translation

• rotation

Write a rule for the translation.

• (x - 1, y + 2) or T_<-1,2>

• (x - 2, y + 1) or T_<-2,1>

• (x + 2, y - 1) or T_<2,-1>

• (x + 1, y - 2) or T_<1,-2>

The point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

Identify the transformation from  triangle C to triangle D.

• 90^o Counter clockwise Rotation
• 180^o Rotation
• 270^o Counter clockwise Rotation
• 360^o Rotation

The point ( -2,5) is reflected over the line x = 1.  Find its image.

• (4, 5)
• (-2, -3)
• (2, 5)
• (2, -5)

What is a possible sequence of transformations for the given figures?

• Reflect over the x-axis, translate (x+8,y) aka T_<8,0>

• Reflect over the x-axis then translate (x+6, y) aka T_<6,0>

• Reflect over the y-axis then (x+1, y+1) aka T_<1,1>

• Translate down 4 and to the right 5 aka T_<-4,5>

What is the transformation shown?

• Rotation 90 degrees clockwise
• Reflection over y= -1
• Reflection over x-axis
• Reflection over x= -1

Triangle ABC is rotated 180 degrees clockwise around the origin and reflected over the y-axis. What is the quadrant of the final image?

• I (1)

• II (2)

• III (3)

• IV (4)

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90 degrees counterclockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down 8.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up 8 and then rotate 90 degrees counterclockwise about the origin.