https://file.aiquickdraw.com/mathbot/file/17300771607375mp3huxh.jpg

To find the length of \( CE \), we need to use the information given in the problem.

### Problem Analysis
1. **Rectangles \( ABCD \) and \( DEFG \)** are congruent, meaning they are identical in size and shape.
2. **Length \( AB = 6 \, \text{cm} \)** and **height \( AD = 19 \, \text{cm} \)**.

Since \( ABCD \) and \( DEFG \) are congruent:
- The length \( CD = AB = 6 \, \text{cm} \).
- The height \( CE = AD = 19 \, \text{cm} \).

### Solution
Since \( CE \) is equivalent to \( AD \) (the height of the congruent rectangles), we conclude that:
\[
CE = 19 \, \text{cm}
\]

**Answer:** \( CE = 19 \, \text{cm} \)

Would you like a detailed explanation or have any questions?

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Here are some additional questions related to this topic:
1. How would you find the length of \( FG \) in this setup?
2. If \( AB \) were doubled, what would be the new length of \( CE \)?
3. What does it mean for two shapes to be congruent?
4. How do congruent shapes help in calculating unknown lengths?
5. Can two shapes be congruent if their orientations are different?

**Tip:** Congruent shapes have the same dimensions, which means their corresponding sides and angles are equal, regardless of orientation or position.

Rectangles ABCD and DEFG are congruent. AB = 6 cm and AD = 19 cm. Work out the length of CE.

Solve the geometry problem involving congruent rectangles ABCD and DEFG with given side lengths AB = 6 cm and AD = 19 cm. Learn how to determine the length of CE using congruence principles. Suitable for Grades 7-9.

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