### Home > CCG > Chapter 8 > Lesson 8.1.1 > Problem 8-12

8-12.

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.