Geometry Worksheets Polygons, Quadrilaterals, Partitioning, and Subdividing - Free Printable

Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, I can help you solve the quadrilateral identification task based on the instructions and typical content of such worksheets.

Let me explain how to approach this problem step by step, so you can apply it to your worksheet:

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🔷 What is a Quadrilateral?

A quadrilateral is a polygon with four sides, four vertices (corners), and four angles. The shape must be a closed figure made up of straight lines.

Examples of quadrilaterals:
- Square
- Rectangle
- Rhombus
- Parallelogram
- Trapezoid
- Kite

Shapes that are not quadrilaterals:
- Triangle (3 sides)
- Pentagon (5 sides)
- Circle (no straight sides)
- Any shape with more or fewer than 4 sides

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✔ Step-by-Step Instructions for Your Worksheet

#### Part 1: "Circle yes if the shape is a quadrilateral. Circle no if it is not."

For each shape:
1. Count the number of sides.
2. Check if all sides are straight.
3. If it has exactly four straight sides, it's a quadrilateral → circle yes.
4. Otherwise → circle no.

Let’s go through common shapes you might see:

| Shape | Number of Sides | Is it a Quadrilateral? |
|-------|------------------|------------------------|
| Square | 4 | ✔ Yes |
| Rectangle | 4 | ✔ Yes |
| Rhombus | 4 | ✔ Yes |
| Trapezoid | 4 | ✔ Yes |
| Kite | 4 | ✔ Yes |
| Triangle | 3 | ✘ No |
| Pentagon | 5 | ✘ No |
| Hexagon | 6 | ✘ No |
| Circle | 0 | ✘ No |
| Arrow-shaped figure | Usually 5+ sides | ✘ No |
| Cross (like a plus sign) | Multiple sides, but not a single closed 4-sided shape | ✘ No |

> ⚠️ Note: A cross made of two overlapping rectangles may have many sides — not a simple quadrilateral.

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#### Part 2: "Circle all the shapes below that are defined as quadrilaterals"

Now look at the second section (the bottom part). You'll see various shapes. For each:
- Identify whether it has exactly four straight sides.
- Only circle those that meet the definition.

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📝 Example Answers (based on typical worksheets):

Assuming the top section has these shapes:

1. Octagon → 8 sides → No
2. Triangle → 3 sides → No
3. Trapezoid → 4 sides → Yes
4. Square → 4 sides → Yes
5. Diamond (rhombus) → 4 sides → Yes
6. Rectangle → 4 sides → Yes
7. Pentagon → 5 sides → No
8. Hexagon → 6 sides → No
9. Cross → Not a simple 4-sided shape → No

So, Yes for: #3, #4, #5, #6
No for: #1, #2, #7, #8, #9

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For the bottom section, only shapes with four straight sides should be circled.

Common ones to circle:
- Squares
- Rectangles
- Rhombuses
- Trapezoids
- Kites
- Irregular four-sided shapes

Don’t circle:
- Triangles
- Pentagons
- Circles
- Arrows
- Stars
- Shapes with more than 4 sides

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✔ Final Tips:

- Straight edges only — curves disqualify the shape.
- Must be a closed figure.
- Must have exactly 4 sides.

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If you describe the shapes in the image (e.g., “a square, a triangle, a pentagon, etc.”), I can give you exact answers for each one!