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The shapes shown in the image are two parallelograms, as they have pairs of opposite sides that are congruent, and their angles are corresponding. We need to identify the correct congruence statement based on the matching sides and angles.

- **EFGH** on the left has corresponding sides and angles that match with **VWXY** on the right.

The matching congruence of vertices follows this pattern:
- \( E \leftrightarrow V \)
- \( F \leftrightarrow W \)
- \( G \leftrightarrow X \)
- \( H \leftrightarrow Y \)

Thus, the correct congruence statement is:

\[
EFGH \cong VWXY
\]

Would you like more details on why this is the correct match, or have any other questions? 

Here are some follow-up questions:
1. How do we identify corresponding angles in congruent polygons?
2. What properties of parallelograms help determine congruence?
3. How does side length influence congruence in polygons?
4. What other shapes besides parallelograms can have congruent sides and angles?
5. Why are both angle measures and side lengths important in proving congruence?

**Tip:** When identifying congruent shapes, always match corresponding vertices carefully based on both side lengths and angle measures!

Learn how to identify congruent parallelograms by matching sides and angles in this geometry problem. The problem compares two parallelograms EFGH and VWXY with corresponding sides of 35 cm, 48 cm, and angles of 54° and 126°. Suitable for students in Grades 7-9.

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