It looks like you've uploaded an image of a math homework assignment regarding geometric shapes and properties. In the task, you're asked to decide whether each of the statements about quadrilaterals is true or false.

Here are the statements that need to be evaluated:

1. If a quadrilateral is a rectangle, then it is a parallelogram.
2. If a quadrilateral is a parallelogram, then it is a rhombus.
3. If a quadrilateral is a square, then it is a rhombus.
4. If a quadrilateral is a rectangle, then it is a rhombus.
5. If a rhombus is a square, then it is a rectangle.

Let’s go through each statement:

1. If a quadrilateral is a rectangle, then it is a parallelogram.

   • True: A rectangle is a type of parallelogram, as opposite sides are parallel and equal in length, and the angles are right angles.

2. If a quadrilateral is a parallelogram, then it is a rhombus.

   • False: A parallelogram does not necessarily have equal sides (which is the defining property of a rhombus). So, a parallelogram can have unequal sides.

3. If a quadrilateral is a square, then it is a rhombus.

   • True: A square is a special type of rhombus where all angles are right angles, and all sides are equal.

4. If a quadrilateral is a rectangle, then it is a rhombus.

   • False: A rectangle has right angles, but the sides are not necessarily all equal, which is required for it to be a rhombus.

5. If a rhombus is a square, then it is a rectangle.

   • True: A square is both a rhombus (all sides equal) and a rectangle (all angles right angles), so it must be a rectangle.

Would you like further details on these properties or have any other questions about geometry?