Question

directions: determine if the figures have line, point, and/or rotational symmetry. check all that apply.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.

Explanation:

• Line Symmetry: A figure has line symmetry if there is a line (axis of symmetry) such that when the figure is folded along that line, the two halves match exactly. For example, in the case of the letter "M" (question 3), there is a vertical line of symmetry.
• Point Symmetry: A figure has point symmetry if for every point \( P \) in the figure, there is a corresponding point \( P'\) such that the center of symmetry is the mid - point of the segment \( PP'\). For example, in question 8, if we consider the center of the figure, for any point on one side of the center, there is a point on the opposite side at the same distance from the center.
• Rotational Symmetry: A figure has rotational symmetry if it can be rotated by an angle \( \theta\) (\(0<\theta < 360^{\circ}\)) around a center point and still look the same. For example, in question 10, if we rotate the figure by \(60^{\circ}\) (since \(360\div6 = 60\)), it will map onto itself.

Answer:

1. Line, Point, Rotational
2. Line
3. Line
4. None
5. None
6. None
7. None
8. Line, Point, Rotational
9. None
10. Point, Rotational
11. None
12. None