Rotational Symmetry
Reflection
Reflection and Rotation
Sequence of Transformations
100

Reflect over the line 

y=-x

200

Reflect over the y-axis.


200

Rotate point P 90º clockwise around point C.

300

What angles of rotational symmetry are there for a regular pentagon?

Multiples of 72° (72, 144, 216, 288, 360)

300

Reflect triangle ABC over the line: 

y=x

and label the image A'B'C'


300

Reflect over the y-axis and then rotate clockwise 90° around P'

400

What angles of rotational symmetry are there for a regular hexagon?

Multiples of 60° (60, 120, 180, 240, 300, 360)

400

Reflect quadrilateral ABCD over the line: 

y=2+x

and label the image A'B'C'D'

400

Reflect triangle ABC over the line: 

y=x

and label the image A'B'C'.

Rotate A'B'C' 180° counter-clockwise around the origin and label the image A''B''C''


400

Find a sequence of transformations that will carry triangle RST onto triangle R’S’T’. Clearly describe the sequence of transformations.

Possible answer:

Translate left 8 so S coincides with S'

Reflect across S'T' so R lands on R'

500

If a regular polygon has an angle of rotational symmetry that is 40°, how many sides does the polygon have?

9 sides

500

Reflect point P over line j.

500

Reflect quadrilateral ABCD over the line: 

y=2+x

and label the image A'B'C'D'.

Rotate quadrilateral A'B'C'D' counter-clockwise 90° around (-2, -3) as the center of rotation and label the image A''B''C''D''.

500

Find a sequence of transformations that will carry triangle RST onto triangle R’S’T’. Clearly describe the sequence of transformations.

Possible answer:

Translate up 8 units so T coincides with T'

Rotate clockwise 90° about T' until TR coincides with T'R' 

Reflect across T'R' so S lands on S'

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