Question

identify all the lines of symmetry for the figure on the right. if the figure has rotational symmetry, tell the angle of rotation.

the figure has no lines of symmetry

if the figure has rotational symmetry, tell the angle of rotation. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the angle of rotation is \\(\square^{\circ}\\) (type an integer or a decimal.)

b. the figure does not have rotational symmetry

Explanation:

Step1: Analyze the figure (a rectangle)

A rectangle has two lines of symmetry (vertical and horizontal through the midpoints of opposite sides). For rotational symmetry, a rectangle rotated by \(180^\circ\) maps onto itself.

Step2: Determine rotational symmetry angle

A full rotation is \(360^\circ\). For a rectangle, the smallest angle of rotation that maps it to itself is \(180^\circ\) (since rotating \(90^\circ\) won't map it to itself, but \(180^\circ\) will align the sides and vertices correctly).

Answer:

A. The angle of rotation is \(180^\circ\)