NCERT Solutions for Class 5th Maths Chapter 10 Tick the shapes with reflection symmetry, star the ones with rotational symmetry — Let Us Do — Shapes on the border

Book page 141 Updated on2026-09-19

Q1.
Observe the shapes given on the border. Which of the shapes have reflection symmetry? Put a (✓) mark on them. Put a * on the shapes that have rotational symmetry.
The shapes printed along the border of page 141.
Answer

Almost every shape on the border gets a tick, and most of them get a star too. Two shapes are the exceptions — the orange slanting four-sided shape and the thin red triangle.

Use one simple rule for the regular shapes:

A regular shape with n equal sides has:
n lines of symmetry (so it gets a ✓)
and it looks the same after a 1/n turn (so it gets a *)
Shape on the borderReflection symmetry (✓)Rotational symmetry (*)How much of a turn
Light blue square (left side)✓ 4 lines*1/4 turn
Light green circle (left side)✓ many lines*any turn at all
Purple triangle (left side)✓ 3 lines*1/3 turn
Yellow hexagon, 6 sides (top)✓ 6 lines*1/6 turn
Green six-pointed star (top)✓ 6 lines*1/6 turn
Pink triangle split into 4 small triangles (top)✓ 3 lines*1/3 turn
Grey-and-green triangle with cut corners (top)✓ 3 lines*1/3 turn
Three purple circles joined by a Y (top)✓ 3 lines*1/3 turn
Red rectangle (right side)✓ 2 lines*1/2 turn
Grey rhombus, a slanted diamond (right side)✓ 2 lines (its diagonals)*1/2 turn
Olive pentagon, 5 sides (right side)✓ 5 lines*1/5 turn
Green heptagon, 7 sides (right side)✓ 7 lines*1/7 turn
Purple star-ring of triangles (right side)*it looks the same at each small turn round the ring
Mauve bow-tie of two triangles (left side)✓ 2 lines*1/2 turn
Yellow and grey overlapping stars (bottom left)✓ 3 lines*1/3 turn
Pink triangle with a circle at each corner (bottom)✓ 3 lines*1/3 turn
Blue four-blade cross (bottom right)✓ 4 lines*1/4 turn
Orange parallelogram (bottom)no ✓*1/2 turn
Thin red triangle with three unequal sides (left side)no ✓no *only a full turn
square ✓ * hexagon ✓ * parallelogram — only * A parallelogram turns onto itself but has no folding line.
Two shapes that get both marks, and one that gets only the star.
Why the parallelogram gets no tick: Fold it side to side and one slanting edge leans left while the other leans right — they do not meet. But turn it half way round and the leaning edges swap places and match perfectly. So it turns, but it does not fold.
Tip: Some border shapes are printed at a slant. That does not matter. Symmetry is about turning and folding the shape about its own centre, not about how it sits on the page.
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