### Home > INT2 > Chapter 7 > Lesson 7.2.1 > Problem 7-76

7-76.

Decide if the following statements are true or false. If they are true, explain how you know. If they are false, provide a counterexample.

Try to think of a counterexample for each part.

If a quadrilateral has two sides that are parallel and two sides that are congruent, then the quadrilateral must be a parallelogram.

False (isosceles trapezoid)

If the interior angles of a polygon add up to

, then the polygon must be a quadrilateral. If a quadrilateral has three right angles, then the quadrilateral must be a rectangle.

If the diagonals of a quadrilateral bisect each other, then the quadrilateral must be a rhombus.