Question
13. How many axes of symmetry does the shape have?
Ask by Mcfarlane Bartlett. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The shape has 4 axes of symmetry.
Solution
To determine how many axes of symmetry a shape has, we need to consider the specific shape in question. Different shapes have different numbers of axes of symmetry. Here are some common shapes and their axes of symmetry:
1. **Circle**: Infinite axes of symmetry (any line through the center).
2. **Square**: 4 axes of symmetry (2 diagonals and 2 midlines).
3. **Rectangle**: 2 axes of symmetry (2 midlines).
4. **Equilateral Triangle**: 3 axes of symmetry (each median).
5. **Isosceles Triangle**: 1 axis of symmetry (the line through the vertex opposite the base).
6. **Regular Pentagon**: 5 axes of symmetry.
7. **Regular Hexagon**: 6 axes of symmetry.
If you can specify the shape you are referring to, I can provide a more precise answer regarding the number of axes of symmetry it has.
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Simplify this solution Beyond the Answer
To determine the number of axes of symmetry in a shape, you need to look at its geometric properties. A shape will have an axis of symmetry if it can be folded along that axis in such a way that the two halves match perfectly. For instance, a square has four axes of symmetry, while a circle has infinite axes of symmetry. Familiarize yourself with common shapes to quickly assess symmetry! When analyzing complex shapes, start by identifying the most prominent features and their arrangement. Draw the shape on paper and visually test various lines to see if one half mirrors the other. This trial-and-error method can help you catch any missed symmetrical lines!
