Map a Figure Onto Itself

Which transformation would not carry a square onto itself?

• a reflection over one of its diagonals

• a 90° rotation clockwise about its center

• a 180° rotation about one of its vertices

• a reflection over the perpendicular bisector of one side

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

• 90

• 120

• 150

• 240

• 300

How many ways can you reflect a regular heptagon onto itself?

• 21

• 1

• 8

• 9

Which of the following lines of reflection will map the polygon onto itself?

• x = 3

• x = -1

• y = -1

• y = 3

Which transformation will map the parallelogram onto itself?

• reflection x axis

• reflection y axis

• refection across the green line

• none of these above

Which of the following transformations carry this regular polygon onto itself?

• Rotation of 36 degrees counterclockwise

• Rotation of 120 degrees counterclockwise

• Rotation of 90 degrees counterclockwise

Which transformation will map the figure onto itself?

• 90 degree rotation about the center

• 180 degree rotation about the center

• 270 degree rotation about the center

• none of the above

Use the image to answer the question.

• Option 1

• Option 2

• Option 3

• Option 4

Which of the following lines could this shape be reflected over to map onto itself? (there are two answers!)

• x = -1

• x = 1

• y = -1

• y = 1

What line could you reflect this shape over to map it onto itself?

• y = 3

• x = 3

• y = - 3

• y = 3