What kinds of polygons are symmetrical?A.CirclesB.Scalene trianglesC.All regular polygonsD.None of these

Step 1: Break Down the Problem

We need to identify which of the given options represents polygons that are symmetrical. Symmetrical polygons are those that can be divided into two identical halves by one or more lines of symmetry.

Step 2: Relevant Concepts

1. Circle (A): A circle is symmetrical, but it is not a polygon; it has infinite lines of symmetry.
2. Scalene triangles (B): Scalene triangles have no sides or angles that are the same, thus they are not symmetrical.
3. Regular polygons (C): Regular polygons are defined as having all sides and angles equal, and they are symmetrical. For example, an equilateral triangle, square, and regular pentagon all have lines of symmetry.
4. None of these (D): This implies that none of the options are symmetrical, which contradicts our findings for regular polygons.

Step 3: Analysis and Detail

• Option A (Circles): While circles are symmetrical, they are not polygons.
• Option B (Scalene triangles): As mentioned, they lack symmetry due to unequal sides and angles.
• Option C (All regular polygons): All regular polygons have multiple lines of symmetry, making them symmetrical.
• Option D (None of these): Since regular polygons are symmetrical, this option is incorrect.

Step 4: Verify and Summarize

• Circle: Not a polygon, but symmetrical.
• Scalene triangle: Not symmetrical.
• Regular polygons: Symmetrical.
• Thus, the correct answer must relate to regular polygons being symmetrical.

Final Answer

C. All regular polygons are symmetrical.