Mrs. Meager drew a quadrilateral on the board.

http://www.mathsisfun.com/quadrilaterals.html

To determine what Mrs. Meager drew, let's analyze the given information:

1. Two sets of parallel sides: A quadrilateral with two sets of parallel sides is called a parallelogram. In a parallelogram, opposite sides are equal in length and parallel to each other.

2. No right angles: A quadrilateral with no right angles is not a rectangle or a square, as both of these shapes have four right angles.

3. All four sides were the same length: In a parallelogram, having all four sides of the same length means it is a special type called a rhombus.

Combining these three pieces of information, Mrs. Meager drew a rhombus on the board.