https://file.aiquickdraw.com/mathbot/file/1726495603138zwhqre3y.jpg

The problem in the image is written in Indonesian and translates to:

**Problem:**
"It is known that line **a** is parallel to line **g**, and line **b** is parallel to line **h**. If lines **a** and **b** intersect and lie on plane **α**, while lines **g** and **h** intersect and lie on plane **β**, what is the position of planes **α** and **β**?"

### Solution:
We have two key pieces of information:
1. Line **a** is parallel to line **g** and line **b** is parallel to line **h**.
2. Lines **a** and **b** intersect on plane **α**, and lines **g** and **h** intersect on plane **β**.

To understand the relative position of planes **α** and **β**, observe the following:
- Since lines **a** and **g** are parallel but lie in different planes, it implies that planes **α** and **β** must also be parallel to each other.
- Similarly, the same holds for lines **b** and **h**.

### Conclusion:
Since corresponding lines are parallel and each pair lies on different planes, **α** and **β** are **parallel planes**.

Would you like further details on this, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. What conditions must be met for two planes to be parallel?
2. How do parallel lines in different planes affect the spatial relationship of the planes?
3. What happens if two lines intersect on the same plane but are not parallel?
4. Can two planes be perpendicular if they contain parallel lines? Why or why not?
5. How can the intersection of lines help determine the position of planes?

**Tip:** When two lines are parallel but exist in different planes, it often hints at the planes themselves being parallel.

It is known that line a is parallel to line g, and line b is parallel to line h. If lines a and b intersect and lie on plane α, while lines g and h intersect and lie on plane β, what is the position of planes α and β?

Explore how parallel lines and their intersection on different planes help determine the spatial relationship between the planes. Learn the geometry of parallel planes with an example involving lines a, b, g, and h.

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