Tyler found the diagram of a tiered, raised-bed garden for Village Park in a book. From the diagram, Tyler thinks that both ACEG and BDFH are parallelograms. Activity 1 of 2 Part A H If BDH is a parallelogram, what is true about KN and MN? Explain your reasoning. Enter your explanation in the space provided. Activity 2 of 2 Part B G If ACEG is a parallelogram, how could you show that ACEG is a square? Explain your raisoning. Enter your explanation in the space provided.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Task: Garden for Village Park**

**Instructions:**

Tyler found the diagram of a tiered, raised-bed garden for Village Park in a book. 
From the diagram, Tyler thinks that both ACEG and BDFH are parallelograms.

![Diagram](image_of_a_garden_diagram_with_points.jpg)

In the diagram, we have a series of intersecting lines forming two parallelograms. Points A, B, C, D, E, F, G, and H are labeled on the vertices of these parallelograms. Additionally, points K, N, L, M, and H are indicated within the structure.

### Activity 1 of 2

**Part A**

If BDH is a parallelogram, what is true about \(KN\) and \(MN\)? Explain your reasoning.

[Enter your explanation in the space provided.]

---

### Activity 2 of 2

**Part B**

If ACEG is a parallelogram, how could you show that ACEG is a square? Explain your reasoning.

[Enter your explanation in the space provided.]

---

In the provided diagram:

- **Parallelogram ACEG** is formed by connecting points A, C, E, and G.
- **Parallelogram BDFH** is formed by connecting points B, D, F, and H.
- Points K, N, L, and M appear to be intersections of lines connecting the vertices and possibly indicate midpoints or other significant points with respect to the structures formed by the parallelograms.

Consider the definitions and properties of parallelograms along with any necessary geometric principles to answer both parts of the activity.
Transcribed Image Text:**Task: Garden for Village Park** **Instructions:** Tyler found the diagram of a tiered, raised-bed garden for Village Park in a book. From the diagram, Tyler thinks that both ACEG and BDFH are parallelograms. ![Diagram](image_of_a_garden_diagram_with_points.jpg) In the diagram, we have a series of intersecting lines forming two parallelograms. Points A, B, C, D, E, F, G, and H are labeled on the vertices of these parallelograms. Additionally, points K, N, L, M, and H are indicated within the structure. ### Activity 1 of 2 **Part A** If BDH is a parallelogram, what is true about \(KN\) and \(MN\)? Explain your reasoning. [Enter your explanation in the space provided.] --- ### Activity 2 of 2 **Part B** If ACEG is a parallelogram, how could you show that ACEG is a square? Explain your reasoning. [Enter your explanation in the space provided.] --- In the provided diagram: - **Parallelogram ACEG** is formed by connecting points A, C, E, and G. - **Parallelogram BDFH** is formed by connecting points B, D, F, and H. - Points K, N, L, and M appear to be intersections of lines connecting the vertices and possibly indicate midpoints or other significant points with respect to the structures formed by the parallelograms. Consider the definitions and properties of parallelograms along with any necessary geometric principles to answer both parts of the activity.
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