She is may be correct if the shapes also have 4 right angles at each of the 4 vertices (corners).
Here are examples of some other shapes that may be described by what she said:
quadrilateral - any 4 sided figure with 4 vertices
trapezoid - a 4 sided figure (with 4 vertices) with exactly one set of parallel sides
parallelogram - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel
rhombus - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel AND 4 congruent sides
square - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel AND 4 congruent sides AND all 4 vertices are 90 degree angles.
