Cross sections of 3D figures worksheet with diagrams and shape identification exercises.

Since I can't view or access images directly, I can’t see the specific shapes or cross sections in your uploaded image. However, I can help you solve the problem if you describe the 3D figures and their cross sections, or if you provide details about each figure and the options given below them.

But based on the title and layout of the worksheet — *"Cross Sections of Three-Dimensional Figures"* — I can guide you through how to solve this type of problem and explain the logic behind identifying cross sections.

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🔍 What Is a Cross Section?

A cross section is the shape you get when you slice through a 3D object with a plane. The shape of the cross section depends on:
- The type of 3D figure (e.g., prism, pyramid, cylinder, cone)
- The angle and position of the slicing plane

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🧩 Common Cross Sections by Shape:

| 3D Figure | Possible Cross Sections |
|----------|-------------------------|
| Rectangular Prism | Rectangle, square, triangle (if sliced diagonally), or other polygons depending on angle |
| Triangular Prism | Triangle, rectangle, parallelogram |
| Cylinder | Circle (horizontal), rectangle (vertical), ellipse (angled) |
| Cone | Circle (horizontal), triangle (through vertex), ellipse (angled) |
| Square Pyramid | Square (parallel to base), triangle (through apex), trapezoid, etc. |
| Pyramid (triangular) | Triangle, quadrilateral, etc., depending on cut |

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✔ How to Solve This Worksheet:

For each 3D figure shown:
1. Look at how the plane cuts the figure.
2. Determine the shape of the intersection between the plane and the solid.
3. Circle the correct 2D shape from the options listed below.

Let’s go through each row as they appear in typical worksheets like this:

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#### 🔹 Row 1:

Figure 1: Rectangular Prism cut horizontally
- A horizontal slice through a rectangular prism → Rectangle (or possibly a square, depending on proportions)
- So circle the rectangle shape.

Figure 2: Cone cut horizontally
- Horizontal slice through a cone → Circle
- Circle the circle

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#### 🔹 Row 2:

Figure 3: Triangular Prism cut vertically (diagonal)
- If it's cut through the triangular face → Triangle
- Or if it's cut through the side → could be rectangle or parallelogram
- But since the cut appears to go through the apex → likely triangle
- Circle the triangle

Figure 4: Square Pyramid cut vertically through the apex
- Vertical slice through apex → Triangle
- Circle the triangle

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#### 🔹 Row 3:

Figure 5: Rectangular Prism cut diagonally (slanted)
- Diagonal cut → could produce a parallelogram or rectangle
- Often results in a parallelogram or trapezoid
- Look for the shape that matches the cut
- Likely parallelogram or rectangle – check the options

Figure 6: Cube (or rectangular prism) cut vertically
- If it's a vertical cut parallel to a face → Square or Rectangle
- If diagonal → Parallelogram
- Based on common problems, often a square or rectangle

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💡 Tips:

- If the slice is parallel to the base, the cross section is the same shape as the base.
- If the slice goes through the top and bottom, and is not parallel, you might get a trapezoid or triangle.
- For pyramids, slices through the apex usually give triangles.
- For cylinders/cones, horizontal slices give circles.

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✔ Final Answer Strategy:

For each figure:
1. Identify the 3D shape.
2. Observe the orientation of the cutting plane.
3. Match the resulting 2D shape to one of the choices.

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👉 Please describe the figures or tell me what each 3D shape looks like and how it's being sliced, and I’ll give you the exact answers!

Alternatively, if you can list the options under each figure, I can help you pick the correct one.