How many planes of symmetry do the objects shown below have? Indicate your answer in the space provided. (Don't forget planes on the diagonal!)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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05.

**Symmetry in 3D Shapes**

This educational material explores the concept of symmetry through various 3D geometric shapes. The task is to identify the number of planes of symmetry for each shape. Below is a description of each given shape and its corresponding number of symmetry planes.

1. **Shape 1**: An isometric block letter resembling the letter "E".
   - **Planes of Symmetry**: 2

2. **Shape 2**: A three-dimensional geometric figure similar to a step pattern.
   - **Planes of Symmetry**: 1

3. **Shape 3**: A cylinder with an infinite number of vertical symmetry planes.
   - **Planes of Symmetry**: Infinite (INF)

4. **Shape 4**: A cross-like 3D structure made up of rectangular blocks.
   - **Planes of Symmetry**: 2

5. **Shape 5**: A T-shaped block pattern in three dimensions.
   - **Planes of Symmetry**: 2

6. **Shape 6**: A staircase-like 3D arrangement of cubes.
   - **Planes of Symmetry**: 2

Each shape is presented against a grid background for clearer visualization of symmetry planes. Understanding symmetry in shapes aids in grasping fundamental geometric and spatial concepts crucial for various fields, including architecture, engineering, and design.
Transcribed Image Text:**Symmetry in 3D Shapes** This educational material explores the concept of symmetry through various 3D geometric shapes. The task is to identify the number of planes of symmetry for each shape. Below is a description of each given shape and its corresponding number of symmetry planes. 1. **Shape 1**: An isometric block letter resembling the letter "E". - **Planes of Symmetry**: 2 2. **Shape 2**: A three-dimensional geometric figure similar to a step pattern. - **Planes of Symmetry**: 1 3. **Shape 3**: A cylinder with an infinite number of vertical symmetry planes. - **Planes of Symmetry**: Infinite (INF) 4. **Shape 4**: A cross-like 3D structure made up of rectangular blocks. - **Planes of Symmetry**: 2 5. **Shape 5**: A T-shaped block pattern in three dimensions. - **Planes of Symmetry**: 2 6. **Shape 6**: A staircase-like 3D arrangement of cubes. - **Planes of Symmetry**: 2 Each shape is presented against a grid background for clearer visualization of symmetry planes. Understanding symmetry in shapes aids in grasping fundamental geometric and spatial concepts crucial for various fields, including architecture, engineering, and design.
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