Identifying Polygons | Worksheet - Free Printable

Problem Analysis:

The task is to identify which shapes in the given image are polygons and mark them accordingly. The instructions specify:
1. Polygons: Closed plane figures with 3 or more straight sides and angles.
2. Shapes that are polygons should be colored blue.
3. Shapes that are not polygons should have a green "X" placed over them.

Solution Approach:

To solve this problem, we need to carefully analyze each shape in the image based on the definition of a polygon:
- A polygon must have:
- Straight sides (no curves).
- Closed boundaries (no gaps).
- At least 3 sides and angles.

#### Step-by-Step Process:
1. Identify Each Shape: Carefully examine each individual shape in the image.
2. Check for Straight Sides: Ensure all sides of the shape are straight lines. If any side is curved, it is not a polygon.
3. Check for Closure: Ensure the shape is closed (i.e., there are no gaps or openings).
4. Count the Sides: Ensure the shape has at least 3 sides.
5. Mark According to Instructions:
- If the shape meets all criteria for a polygon, color it blue.
- If the shape does not meet the criteria, place a green "X" over it.

Detailed Explanation:

Let's go through the process step by step:

#### 1. Identify Each Shape:
- The image contains multiple overlapping and interconnected shapes. Each distinct closed figure needs to be analyzed.

#### 2. Check for Straight Sides:
- Look closely at each shape to ensure all its sides are straight. Any curve disqualifies the shape from being a polygon.

#### 3. Check for Closure:
- Ensure that each shape is completely enclosed. If there are any gaps or openings, it is not a polygon.

#### 4. Count the Sides:
- Count the number of sides for each shape. Polygons must have at least 3 sides.

#### 5. Mark According to Instructions:
- For shapes that are polygons (meet all criteria), color them blue.
- For shapes that are not polygons, place a green "X" over them.

Example Analysis (Hypothetical):

- Suppose one shape is a triangle with straight sides and is closed. This is a polygon, so it should be colored blue.
- Suppose another shape has a curved side. This is not a polygon, so it should have a green "X" placed over it.
- Suppose a third shape is open (not fully enclosed). This is not a polygon, so it should also have a green "X" placed over it.

Final Answer:

Since the actual image is not provided here, I cannot mark the specific shapes. However, following the above steps will allow you to accurately identify and mark the polygons in the image.

If you can provide the image or describe the shapes in more detail, I can give a more precise solution.

Final Answer Format:
- Color all polygons blue.
- Place a green "X" over non-polygon shapes.

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\boxed{\text{Follow the steps above to complete the task.}}
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