In English, street is the generic term for any thoroughfare, with words such as road, avenue, boulevard for more specific ones.
The word לחצות itself comes from the root ח.צ.י meaning half – so that when we cross a street, it’s as if we’re splitting in half by forming an imaginary line made up of our footsteps. Come to think of it, to cross suggests a similar image.
The expression in action:
Kid (boy), don’t cross the street without an adult next to you.