Geometry Chapter 4 Rigid Transformations and Symmetry

_{How many lines of symmetry are in the figure?}

• 0
• 1
• 2
• 3

What series of transformations occurred to the pentagon?

• It translated to the right 2 and down 3, then it reflected over the y-axis.

• It reflected over the x-axis, then translated left 2 and up 3.

• It rotated 90° counter-clockwise about the origin, then reflected over the y-axis.

• It reflected over the y-axis, then translated right 4 and up 3.

Describe the transformation.

• rotation 90 degrees clockwise about the origin
• reflection across the y-axis
• rotation 90 degrees counterclockwise about the origin
• rotation 180 degrees about the origin

Describe the transformation.

• translation: right 4 and up 6
• reflection across x=-2
• translation right 6 and down 1
• reflection across y=-2

Describe the transformation.

• translation: right 3 and down 2
• felfection across y=-x
• rotation 180 degrees about the origin
• rotation 90 degrees clockwise about the origin

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

• 
• 
• 
• 

Reflect the point (2, -4) over the line y=x.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

What type of symmetry does this shape have?

• Only Rotational
• Only Line
• Both Rotational and Line
• Neither Rotational nor Line

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)