Line of Symmetry and Rotational Symmetry Review

Write a rule to describe the transformation.

• Reflection across the y-axis

• Rotation of 180 degrees

• Dilation of -1 

• Translation of (-4, 0)

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

How many lines of symmetry does this shape have?

• 1

• 2

• 3

• 4

How many lines of symmetry does the picture have? 

• 0 lines of symmetry

• 1 line of symmetry

• 2 lines of symmetry

• 4 lines of symmetry

Describe the rotational symmetry for a regular pentagon.

• A regular pentagon has a central angle of 72° and will map onto itself after rotations of 72°, 144°, 216°, and 288°.

• A regular pentagon has five axes of symmetry.

• A regular pentagon has four-fold rotational symmetry.

• A regular pentagon has a central angle of 45° and will map onto itself after rotations of 45°, 90°, 135°, 180°, 225°, 270°, and 325°.

What single isometry is the result of reflecting triangle EFD over line m and then line k?

• a reflection over the line y = x. 

• a rotation 62 $\degree$ CW about point B

• a translation the distance of 2 times the length of segment EB. 

Determine if the figure has any lines of symmetry.

The figure has ​ (a)   line(s) of symmetry.

• 2

• 1

• 3

• 4

• 8

Which figure shows the triangle reflected over the y-axis then rotated 180°?

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