https://file.aiquickdraw.com/mathbot/file/1730988230738iayhwwbj.jpg

To determine if the shapes shown are congruent, let's examine the markings on the figures provided.

1. **Side Markings**: Both quadrilaterals have sides marked with identical lengths. Each side of one shape has a corresponding side in the other shape with the same length marking. This suggests that the corresponding sides of the two shapes are equal.

2. **Angle Markings**: Both quadrilaterals have their corresponding angles marked with identical arcs, indicating that the corresponding angles are also equal.

With both the side lengths and the angles being equal, we can conclude that these two shapes are congruent by the Side-Angle-Side (SAS) postulate for quadrilaterals, as they have corresponding sides and angles that match.

Therefore, the answer to the question, "Can you prove these shapes are congruent?" would be **"Yes."**

Would you like more details on congruence postulates or any other clarification?

Here are some related questions you might find helpful:
1. What is the SAS (Side-Angle-Side) congruence criterion?
2. How does the ASA (Angle-Side-Angle) criterion differ from SAS in proving congruence?
3. What are the differences between congruence and similarity in geometry?
4. How can you use transformations to show that two shapes are congruent?
5. Can a shape be congruent to another if only the angles or only the sides are equal?

**Tip:** When analyzing shapes for congruence, always check for matching sides and angles systematically to confirm congruence criteria.

Can you prove these shapes are congruent?

Learn how to prove the congruence of quadrilaterals by applying the Side-Angle-Side (SAS) Congruence Postulate. This geometry problem is suitable for students in Grades 6-8 and covers key concepts in congruence and geometric properties.

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