Select all of the statements that are true about the parallelogram.
Parallelogram

This parallelogram can be decomposed into two identical triangles.

This parallelogram has 2 pairs of parallel sides.

This parallelogram is a quadrilateral.

This parallelogram has 4 right angles.

Let's analyze each statement one by one:

1. **This parallelogram can be decomposed into two identical triangles.**  
   **True** – A parallelogram can always be divided into two congruent (identical) triangles by drawing one of its diagonals.

2. **This parallelogram has 2 pairs of parallel sides.**  
   **True** – By definition, a parallelogram is a quadrilateral with two pairs of parallel sides.

3. **This parallelogram is a quadrilateral.**  
   **True** – A parallelogram is a type of quadrilateral, meaning it has four sides.

4. **This parallelogram has 4 right angles.**  
   **False** – A parallelogram typically has two pairs of opposite angles that are equal, but not necessarily 90° (right angles). Only a special type of parallelogram, like a rectangle, has 4 right angles.

### Summary of True Statements:
- This parallelogram can be decomposed into two identical triangles.
- This parallelogram has 2 pairs of parallel sides.
- This parallelogram is a quadrilateral.

Would you like a detailed explanation of any of these? Here are five related questions for further exploration:

1. How do you prove that the triangles formed by the diagonal of a parallelogram are congruent?
2. What are the properties of a parallelogram in terms of angles and sides?
3. How does a parallelogram differ from a rectangle and a rhombus?
4. Can all quadrilaterals be decomposed into two congruent triangles?
5. Why is a rectangle considered a special type of parallelogram?

**Tip:** The sum of the interior angles of any quadrilateral is always 360 degrees.

Select all of the statements that are true about the parallelogram. Parallelogram This parallelogram can be decomposed into two identical triangles. This parallelogram has 2 pairs of parallel sides. This parallelogram is a quadrilateral. This parallelogram has 4 right angles.

Explore the key properties of a parallelogram by analyzing true and false statements about its structure. Learn how parallelograms can be decomposed into identical triangles, identify their parallel sides, and understand why not all parallelograms have right angles. Suitable for students in Grades 6-8.

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