Symmetry and Mapping of Figures

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation
• a reflection followed by a translation
• a translation followed by a rotation
• a translation followed by a reflection

State a sequence of rigid motions that would map Quad QRST onto Quad PLKJ.

• A reflection over the x-axis followed by a reflection over the y-axis

• A rotation 180 degrees followed by a translation 2 units to the right

• A reflection over the y-axis followed by a translation 7 units down

• A reflection over the x-axis followed by a translation 6 units to the right and 3 units down

• a

• b

• c

• d

• a

• b

• c

• d

How many lines of symmetry does this shape have?

• 0

• 1

• 2

• 3

• 4

How many lines of symmetry does this shape have?

• 2

• 4

• 6

• 8

• 16

How many lines of symmetry does this shape have?

• 1

• 2

• 4

• 6

• 8

A rectangle has ...

• reflexive symmetry

• rotational symmetry

• both reflexive and rotational symmetry

• neither reflexive nor rotational symmetry

Identify the smallest angle of rotation that maps the image to itself.

• 72°

• 60°

• 51.4°

• 45°

• 40

Which of the following regular polygons would not be mapped onto itself by a 180 degree rotation about its center?

• Square

• Pentagon

• Hexagon

• Octagon