### Home > INT2 > Chapter 7 > Lesson 7.1.4 > Problem 7-52

7-52.

Decide if the following statements are true or false. If a statement is true, explain how you know it is always true. If a statement is false, provide a diagram or a description of a counterexample.

Refer to the Math Notes box in Lesson 7.1.1 for help.

If the diagonals of a quadrilateral are congruent, then it is a rectangle.

Can you draw a quadrilateral with congruent diagonals that is not a rectangle?

If a quadrilateral has four congruent angles, then it is a rectangle.

What kinds of quadrilaterals have four congruent angles?

All rhombi are parallelograms.

The diagonals of a parallelogram bisect the angles.