for each figure below, determine if it has rotational symmetry. if it does, give the smallest angle of…

for each figure below, determine if it has rotational symmetry. if it does, give the smallest angle of rotation needed for the figure to appear unmoved. rotational symmetry? yes no angle? rotational symmetry? yes no angle?

for each figure below, determine if it has rotational symmetry. if it does, give the smallest angle of rotation needed for the figure to appear unmoved. rotational symmetry? yes no angle? rotational symmetry? yes no angle?

Answer

Explanation:

Step1: Analyze the first figure (cross - shaped)

A cross has rotational symmetry. The full rotation is $360^{\circ}$. Since it looks the same 4 times during a full rotation, we divide $360^{\circ}$ by 4. $\frac{360^{\circ}}{4}=90^{\circ}$

Step2: Analyze the second figure (T - shaped)

A T - shaped figure has rotational symmetry. It looks the same 2 times during a full rotation of $360^{\circ}$. So we divide $360^{\circ}$ by 2. $\frac{360^{\circ}}{2}=180^{\circ}$

Answer:

First figure: Rotational symmetry? Yes Angle? $90^{\circ}$ Second figure: Rotational symmetry? Yes Angle? $180^{\circ}$