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E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_07
\\October 8, 2025 12:37 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74
Some shapes look the same even if we give them a half turn.
Original posi�on Half turn Original posi�on Half turn
rotational Symmetry
Rotational symmetry of a figure occurs if it appears the same two or more times during a
complete rotation of 360° about a fixed point.
Q P S R Q
R P Q S P R S Q R P
S R Q P S
Position after Position after Position after Position after
90° turn 180° turn 270° turn 360° turn
The figures that possess rotational symmetry need not possess line symmetry.
Original Position after Position after Position after
position 120° turn 240° turn 360° turn
Here, the given shape possesses rotational symmetry but no line symmetry.
FACTS
Think Tank Logical Thinking
Symmetry in Nature
What time will be on the clock, Nature loves symmetry! Starfish
if the minute hand takes a: have rotational symmetry, butterflies
1
1. turn? ___________ have line symmetry, and snowflakes
4 have beautiful six-fold symmetry.
1
2. turn? ___________ The human face also has a line of
2 symmetry right down the middle.
Practice time 7B
1. Look at each pair of letters. Identify in each pair whether the second letter is
obtained by sliding, flipping or turning the first letter.
(a) (b) ( c)
(d) ( e) ( f)
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