हिंदी में जवाब दो: How many lines of symmetry does a regular hexagon have? Describe where they lie.
Answer: A regular hexagon has 6 lines of symmetry. Three lines pass through opposite vertices, and three lines pass through the midpoints of opposite sides.
Step-by-step solution
Step 1: Define Regular Hexagon
A regular hexagon is a polygon with six sides of equal length and six equal interior angles. This regularity is key to determining its lines of symmetry.
Step 2: Lines of Symmetry through Vertices
In a regular hexagon, three lines of symmetry pass through opposite vertices. If you fold the hexagon along any of these lines, the two halves will perfectly coincide.
Step 3: Lines of Symmetry through Midpoints of Opposite Sides
Additionally, three more lines of symmetry pass through the midpoints of opposite sides. These lines also divide the hexagon into two identical halves.
Step 4: Total Lines of Symmetry
Combining these two types, a regular hexagon has a total of six lines of symmetry: three passing through opposite vertices and three passing through the midpoints of opposite sides.
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