https://file.aiquickdraw.com/mathbot/file/1730742698264bymt0gty.jpg

Since Figures 1 and 2 are similar, their corresponding sides will have proportional lengths and the same relative position within each figure. We are tasked with identifying the side in Figure 2 that corresponds to side \( HG \) in Figure 1.

Let's examine the setup in each figure:

1. In Figure 1:
   - Side \( HG \) is the left slanted side of the trapezoid.

2. In Figure 2:
   - The left slanted side, in a similar position to \( HG \), is side \( NK \).

### Conclusion:
The side in Figure 2 that corresponds to side \( HG \) in Figure 1 is **side \( NK \)**.

Would you like further details or have any additional questions?

---

Here are some follow-up questions related to this concept:

1. How do we determine which sides correspond in similar figures?
2. What are the properties of similar figures?
3. How can we use proportions to find unknown lengths in similar figures?
4. Why is the concept of similarity important in geometry?
5. Can you have similar figures with different orientations?

**Tip:** When working with similar figures, identify corresponding angles and sides to confirm proportional relationships.

Figure 1 and Figure 2 below are similar. Which side corresponds to side HG?

Understand how to identify corresponding sides in similar figures using a trapezoid example. This problem explains which side in one figure corresponds to another in a similar figure, highlighting geometry concepts for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation