QuestionA regular pentagon is shown below. Line $g$ passes through a vertex and bisects a side. Line $h$ passes through two vertices. Point $Y$ is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Reflection across line $g$ Reflection across line $h$ Counterclockwise rotation about $Y$ by $288^{\circ}$ Clockwise rotation about $Y$ by $60^{\circ}$ None of the above Explanation Check

Studdy Solution
Conclude which transformations map the pentagon onto itself.
- Reflection across line $g$ and counterclockwise rotation about $Y$ by $288^\circ$ will map the pentagon onto itself. - Reflection across line $h$ and clockwise rotation by $60^\circ$ will not map the pentagon onto itself.
The transformations that map the pentagon onto itself are: - Reflection across line $g$ - Counterclockwise rotation about $Y$ by $288^\circ$