Rotational and Reflection Symmetry

How many lines of symmetry does this shape have?

• 1

• 2

• 3

• 4

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

• H

• I

• Z

• X

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

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

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?

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)

What are the angles of rotation for a square?

• multiples of 30

• multiples of 45

• multiples of 90

• multiples of 180

State whether the figure has rotational symmetry. Write yes or no. If so, state the order and magnitude of symmetry.

• Yes

• No

• order is 4, magnitude of symmetry is 90°

• order is 8, magnitude of symmetry is 45°

If a figure is folded across a straight line and the halves match exactly, the fold line is called the ____.

• line of reflection

• glide reflection

• line of symmetry

• axis of symmetry