A board on the wall in Jeremy's class has 4 right angles, 4 equal sides, and 2 pairs of parallel sides. Which quadrilateral is it?

http://www.mathsisfun.com/geometry/polygons.html

To identify the quadrilateral on the board in Jeremy's class, let's analyze the given information.

1. The board has 4 right angles: This indicates that the shape is a rectangle or a square, as these are the only quadrilaterals with all right angles.

2. The board has 4 equal sides: This eliminates the possibility of a rectangle, as rectangles can have two pairs of equal sides, but not necessarily all four sides equal. Therefore, the shape must be a square.

3. The board has 2 pairs of parallel sides: This characteristic confirms that the shape is a square since squares have opposite sides that are parallel.

So, based on the given information, the quadrilateral on the board in Jeremy's class is a square.