As shown in the diagram, a planet (or other object) can be at the western quadrature (when it is to the west of the Sun when viewed from the Earth) or at the eastern quadrature (when it is to the east of the Sun when viewed from the Earth). Note that an inferior planet can never be at quadrature to the reference planet.
At quadrature, the shadow that a planet casts on its planetary rings or moons appears most offset from the planet (e.g., Saturn's rings); the dark side of a planet (e.g., Mars) is maximally visible.
When the Sun and Moon are at right angles, their tidal forces counteract each other, and the tidal range is smaller than average, resulting in neap tides.