Parallel lines found on a map correspond to latitude.
longitude
utx
There is no quadrilateral on that list that has only 1 pair of parallel sides.
A network of lines used for locating points is a coordinate grid
Parallels are lines that run the same direction and are the always the same distance apart. On a map (and the Earth) the lines of latitude (measurement North and South of the equator) are parallel.
Isobars are lines on a map joining places that have the same atmospheric pressure.
parallelogram
There can be various lines on a map, but the ones you are probably thinking of are 'latitude' and 'longitude'.
longitude
On a map, longitude lines go up and down, AKA vertically. Latitude lines are horizontal lines on a map.
Topographical lines
"contour lines"
The lines that intercept latitude lines are lines of longitude.
The lines that are perpendicular to the latitude lines on a map are called longitudinal lines. There are 24 of them, each representing 15 degrees of change.
Isotherms and they are lines on a map that connect areas with the same surface temperature.
Contour lines: These lines connect points of equal elevation on a map and help depict the shape of the land surface. Latitude and longitude lines: These lines form a grid on a map to establish the precise location of a point on Earth's surface. Borders: These lines define the boundaries between different countries, states, or regions on a map.
a TOPOGRAPHICAL MAP shows the contour of the lines