Reflection and Rotational Symmetry

Which of the following are congruence transformations?

• Rotations

• Translations

• Reflections

• All Three

Identify the angles of rotation that maps the image to itself.

• multiples of 120°

• multiples of 180°

• multiples of 90°

• multiples of 60°

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

• Rotation, then Rotation

• Rotation, then Dilation

• Reflection, then Rotation

• Translation, then Reflection

How many lines of symmetry does an equilateral triangle have and what is the degree of rotational symmetry?

• 0 lines of symmetry and the degree of rotational symmetry is 90

• 3 lines of symmetry and the degree of rotational symmetry is 90

• 1 line of symmetry and the degree of rotational symmetry is 120

• 3 lines of symmetry and the degree of rotational symmetry is 120

Point A (4, -2) is reflected over the line y = x, rotated 270 degrees CCW and reflected over the y-axis. What is A'''?

• Point A''' is (4, -2)

• Point A''' is (4, 2)

• Point A''' is (-2, 4)

• Point A''' is (-4, 2)

Describe the transformation.

• translation by (x - 1, y + 6)

• reflection across x = -2

• translation by (x + 6, y - 1)

• reflection across y = -2

What is the sequence of transformations for the image given?

• Reflect over the y-axis, translate by T_6,0

• Reflect over the x-axis then translate by T_6,0

• Reflect over the x-axis then translate by T_2,6

• Reflect over the y-axis then translate by T_2,6

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

A nonagon is a nine-sided polygon. If a regular nonagon was rotated about its center point, which angle of rotation would not map the figure onto itself?

What is the order and angle of rotation of the flower?

• Order is 6, angle of rotation is 60 degrees

• Order is 4, angle of rotation is 90 degrees

• Order is 3, angle of rotation is 120 degrees

• Order is 6, angle of rotation is 30 degrees