math-api / knowledge-base /class_6 /ch13 /0012_geometry.md
False45's picture
Add knowledge-base files
8c52ce6 verified
|
Raw History Blame Contribute Delete
703 Bytes
---
source: ncert
topic: geometry
class_level: class_6
chapter: ch13
difficulty: beginner
---
Class 6 | Ch13: Symmetry
Line of symmetry divides figure into two mirror-image halves.
Symmetry count: Equilateral triangle=3, Square=4, Rectangle=2(midpoints only NOT diagonals), Rhombus=2(diagonals), Circle=infinite, Pentagon=5, Hexagon=6, Isosceles triangle=1, Scalene=0, Parallelogram=0.
Regular n-sided polygon has n lines of symmetry.
Rectangle: 2 lines (horizontal+vertical through midpoints). Diagonals NOT lines of symmetry.
Rhombus: 2 lines (both diagonals are lines of symmetry).
Letters: Vertical symmetry: A,H,I,M,O,T,U,V,W,X,Y. Horizontal: B,C,D,E.
Parallelogram has NO line of symmetry at all.