Crystal Math XI: Stars

[⛄]

All the stars in the picture below are similar to each other.
Draw in the biggest same-shaped star which doesn't intersect the lines of any other star.

[True Federalist (진정한 연방 주의자)]

I can see two possible tricks that might be involved.
1.  The drawn star will be rotated so as to not be upright since similar figures do not have to have the same orientation.
2.  The drawn star will have one or more of its line segments overlay those of one or more smaller star since that technically would not be intersecting lines.
I don't really care enough to try drawing the star tho.