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Point symmetry (also known as central symmetry) means that every part of the shape has a matching part at an equal distance from the center, but in the opposite direction. Essentially, if you rotate the figure 180 degrees, it looks the same.

Let’s analyze the given shapes for point symmetry:

1. **Hexagon (First shape):** A regular hexagon has point symmetry, as it looks the same when rotated 180°.
   
2. **Diamond (Second shape):** A square rotated 45 degrees (forming a diamond) also has point symmetry, as rotating it 180° will give the same shape.

3. **Rectangle (Third shape):** A rectangle has point symmetry since rotating it 180° produces the same figure.

4. **Trapezoid (Fourth shape):** A trapezoid does not have point symmetry, as rotating it 180° changes its appearance.

5. **Triangle (Fifth shape):** An isosceles triangle does not have point symmetry because rotating it 180° gives a different orientation.

Thus, the shapes that have point symmetry are:

- The **hexagon**, **diamond (square rotated)**, and **rectangle**.

Would you like more details on any of these shapes or symmetry concepts? 

Here are five questions to further your understanding:
1. What is the difference between point symmetry and line symmetry?
2. Can a shape have both line symmetry and point symmetry?
3. Why doesn't an isosceles triangle have point symmetry?
4. How do we determine the center of symmetry for a shape?
5. Are there polygons that always have point symmetry, regardless of the number of sides?

**Tip:** For a shape to have point symmetry, its rotational symmetry at 180° must map it back onto itself exactly.

Which of the following images has point symmetry?

Explore the concept of point symmetry by analyzing common geometric shapes like hexagons, rectangles, and trapezoids. Learn which shapes maintain their appearance when rotated 180 degrees and why others do not. Suitable for middle school students in Grades 6-8.

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