The image contains a set of statements about parallelograms with a request to agree or disagree and provide reasoning. Here are the statements extracted from the image:

1. The base of a parallelogram is always perpendicular to its height.
2. The opposite sides of a parallelogram have the same length.
3. The area of a parallelogram is equal to the base times the height.
4. The angles of a parallelogram are right angles.
5. A parallelogram has exactly one pair of parallel sides.

Let's analyze and determine whether each statement is true or false:

1. False. The base and the height of a parallelogram are perpendicular, but the base isn't necessarily perpendicular to the sides. The height is a line drawn perpendicular from the base to the opposite side, not the base itself.

2. True. By definition, the opposite sides of a parallelogram are equal in length.

3. True. The area of a parallelogram is calculated as the base times the height (Area = base × height).

4. False. Parallelograms do not necessarily have right angles. Only rectangles (which are specific types of parallelograms) have right angles.

5. False. A parallelogram has two pairs of parallel sides, not just one.

Would you like to dive deeper into any of these concepts? Here are some follow-up questions:

1. What is the difference between a parallelogram and a rectangle?
2. How do you derive the formula for the area of a parallelogram?
3. What other shapes are considered parallelograms besides rectangles?
4. How are the properties of diagonals in a parallelogram useful?
5. How do you find the height of a parallelogram if you only know the side lengths and angles?

Tip: To remember properties of parallelograms easily, think of them as "tilted rectangles" but with equal opposite sides and parallel opposite sides.