Mapping and Composite Transformations

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

• 90°

• 180°

• 45°

• 60°

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

• 180°

• 360°

• 90°

• No rotational symmetry

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

• 72°

• 180°

• 144°

• 45°

How many lines of symmetry does this shape have?

• 1

• 2

• 3

• 4

How many lines of symmetry does this shape have?

• 1

• 2

• 4

• 6

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

• H

• I

• Z

• X

How many lines of symmetry does this shape have?

• 1

• 2

• 4

• 8

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

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.