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What is the missing statement for step 7 in this proof?

To determine the missing statement for step 7 in the proof, I'll first analyze the provided diagram.

### Observations from the Diagram:

1. The diagram shows a parallelogram \(DEFG\) with diagonals \(DG\) and \(EF\) intersecting at point \(H\).
2. Since \(DEFG\) is a parallelogram, its diagonals bisect each other. Thus, \(H\) is the midpoint of both diagonals \(DG\) and \(EF\).

### Reasoning to Find Step 7:

Without the full proof context, I can infer that step 7 likely involves some property related to the diagonals of a parallelogram. Since diagonals of a parallelogram bisect each other, a reasonable guess for step 7 is:

**Missing Statement for Step 7:**
   
\[
\text{H is the midpoint of both } DG \text{ and } EF.
\]

This follows from the property of parallelograms that diagonals bisect each other.

### Would you like to provide more context or ask questions about this step?

Here are 5 relative questions that could expand your understanding:

1. What properties of parallelograms are relevant to the proof?
2. How do diagonals of a parallelogram behave geometrically?
3. What are the implications if two diagonals bisect each other at point \(H\)?
4. How can you prove that the diagonals bisect each other?
5. What would change if the quadrilateral were not a parallelogram?

**Tip:** Always check if a shape has certain defining properties (like parallel sides in parallelograms) to use those properties in your proof effectively.

Discover how to complete the proof for a parallelogram by identifying the missing step involving the diagonals bisecting each other at point H. This solution highlights key properties of parallelograms, perfect for students in Grades 8-10.

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