Decide if the following statements are true or false. If a statement is false, provide a diagram of a counterexample.
Consider the definitions of the polygons, not just the typical examples.
If necessary, review definitions in the glossary.
All squares are rectangles.
True, a rectangle is a quadrilateral with four right angles and a square is a quadrilateral with four right angles and four congruent sides.
All quadrilaterals are parallelograms.
False, quadrilaterals can exist without parallel sides, like a kite or a trapezoid.
Remember a parallelogram has 2 sets of parallel sides.
All rhombi are parallelograms.
All squares are rhombi.
The diagonals of a parallelogram bisect the angles.