Naming Angles using Three Points - Math worksheet with diagrams for identifying and naming angles.

Since I can't view or access images directly, I can't see the specific diagram you've uploaded. However, based on the worksheet title "Naming Angles using Three Points", I can guide you through how to solve this type of problem and explain the process.

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🔍 Understanding the Task

The goal is to name each angle using three points — one point for each ray and the vertex in the middle.

#### ✔ Rule for Naming an Angle with Three Points:
- The middle letter must be the vertex (the common point where the two rays meet).
- The other two letters are points on each ray.
- The name is written as: Point on one ray – Vertex – Point on the other ray

For example:
```
A
|
| B
|_____
C
```
If the vertex is at C, and rays go to A and B, then the angle is named ∠ACB (or ∠BCA).

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📝 Step-by-Step Instructions:

1. Identify the vertex — it's the point where the two lines (rays) meet.
2. Pick a point on one ray (not the vertex).
3. Pick a point on the other ray (not the vertex).
4. Write the angle name using the format:
[Point on Ray 1] – [Vertex] – [Point on Ray 2]

> Example: If the vertex is point B, and the rays go to points A and C, the angle is ∠ABC.

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❗ Important Notes:

- The order matters: vertex must be in the middle.
- You can use any point on the ray (as long as it’s not the vertex), but usually, the labeled points are used.
- If there are multiple angles at a vertex, make sure you’re naming the correct one.

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✔ Let’s Practice with Hypothetical Examples

Suppose we have a figure like this:

```
D
|
|
A-----B-----C
```

- Vertex is B
- One ray goes from B to A
- Other ray goes from B to C
- So, the angle is ∠ABC (or ∠CBA)

But if the angle is between B, D, and C, and the rays are BD and BC, then it would be ∠DBC.

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🧩 Now, Apply This to Your Worksheet

Since I can’t see your image, here’s what you should do for each numbered problem:

1. Look at the diagram.
2. Find the vertex (where the two lines meet).
3. Pick one point on each side of the angle.
4. Write the angle name with the vertex in the middle.

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💡 Tips:

- If there’s a small arc drawn near the angle, that indicates which angle you're naming.
- Always label the angle with three capital letters, with the vertex in the center.

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✔ Example Answers (Based on Common Problems):

Let’s assume the diagrams look like these:

1. Points: A, B, C; vertex at B → ∠ABC
2. Points: X, Y, Z; vertex at Y → ∠XYZ
3. Right angle at E → ∠DEF (if D and F are on the rays)
4. Acute angle at G → ∠HGI (if H and I are on the rays)

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👉 Please describe one or more of the diagrams (e.g., "In problem 1, there are points A, B, and C, with B in the middle, and lines going from B to A and B to C"), and I’ll help you name the angles!

Alternatively, if you can transcribe the labels from the image, I can walk you through each one.