QuestionAn equilateral triangle is shown below. Line $m$ passes through a vertex and bisects a side. Line $n$ bisects each side it passes through. Point $Y$ is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Counterclockwise rotation about $Y$ by $120^{\circ}$ Reflection across line $m$ Clockwise rotation about $Y$ by $360^{\circ}$ Reflection across line $n$ None of the above

Studdy Solution
Determine if any of the transformations map the triangle onto itself:
- Counterclockwise rotation about $Y$ by $120^{\circ}$ maps the triangle onto itself. - Reflection across line $m$ maps the triangle onto itself. - Clockwise rotation about $Y$ by $360^{\circ}$ maps the triangle onto itself. - Reflection across line $n$ maps the triangle onto itself.
The transformations that map the triangle exactly onto itself are: - Counterclockwise rotation about $Y$ by $120^{\circ}$ - Reflection across line $m$ - Clockwise rotation about $Y$ by $360^{\circ}$ - Reflection across line $n$