Line of symmetry kya hai?

Mirror halves

Do barabar sides wala triangle banao aur use uske upar ke kone aur base ke beech ke point se guzarti line pe modo. Ek hissa doosre ko poori tarah dhak leta hai. Dono hisse mirror halves kehlaate hain, aur mod ki line line of symmetry hai. Ab jigsaw ke chaar jude tukde lo aur beech ki line pe modo: baayan hissa daayein pe theek nahi baithta, isliye wo line, line of symmetry nahi hai.

Jo line figure ko aise do hisson mein kaate jo us line pe modne pe ekdum ek doosre pe aa jaayein, wo figure ki line of symmetry, ya axis of symmetry, hai.

Kitni lines of symmetry?

Square kaagaz lo aur use khada, phir leta, phir ek diagonal pe aur phir doosre diagonal pe aadha modo, har baar kholte hue. Har mod pe hisse mel khaate hain, aur koi aur tareeka nahi hai. Isliye square mein 4 lines of symmetry hain.

Figure	Lines of symmetry	Kahan hain
Isosceles triangle (do barabar sides)	1	Upar ke kone se base ke beech tak
Rectangle (square nahi)	2	Aamne-saamne ki sides ke beech ke points se
Equilateral triangle	3	Har kone se saamne ki side ke beech tak
Square	4	Aamne-saamne ki sides ke beech se, aur dono diagonals
Regular hexagon	6	Aamne-saamne ke kono se, aur aamne-saamne ki sides ke beech se
Scalene triangle	0	Koi nahi

Rectangle pe dhyan do. Use diagonal pe modo to kone nahi milte, isliye rectangle ke diagonals lines of symmetry nahi hain, jabki square ke diagonals hain.

Reflection

Line of symmetry sheeshe ki tarah kaam karti hai: ye figure ke ek taraf ke hisse ko doosri taraf reflect karti hai. Square ke kono ko upar-baayein se ghoomte hue A, B, C aur D naam do. Khadi line of symmetry mein reflect karo: B aur C, A aur D ki jagah chale jaate hain, aur A aur D, B aur C ki jagah. Diagonal AC mein reflect karo: A aur C wahin rehte hain, jabki B aur D jagah badal lete hain. Jis figure mein line of symmetry ho, usme reflection symmetry kehte hain.

Mirror image dhoondhna

Point ka mirror image line of symmetry ke doosri taraf, usse barabar doori pe, line ke saath 90° pe hota hai. Squared paper pe figure poori karne ke liye har kona squares gin ke line ke paar copy karo, phir naye kono ko usi kram mein jodo. Tirchhi line ke liye kaagaz ko itna ghumao ki line khadi dikhe, ya tirchhe squares gino.

Symmetric shapes banana

• Syahi ke dhabbe: mude kaagaz ke ek aadhe hisse pe thodi syahi giraao, dono hisse dabaao aur kholo. Dhabba mod ke dono taraf symmetric hota hai.
• Modna aur kaatna: mude kaagaz se koi shape kaato aur kholo. Mod chhed ki line of symmetry ban jaata hai.
• Punching game: mude square mein chhed karo. Kholne pe dono chhed mod ke paar ek doosre ke mirror image hain. Chhed karne se pehle do baar modo to ek chhed se chaar chhed bante hain.

Aas-paas lines of symmetry

Pattiyon, titliyon, kolam, rangoli, A, H aur M jaise akshar, aur Taj Mahal jaisi imaaraton ke saamne ke hisse mein lines of symmetry dhoondho. Baadal ya scalene triangle mein koi nahi hoti. Kuch figures, jaise pinwheel, mein koi line of symmetry nahi hoti par ghumane pe wo waisi hi dikhti hain; unke baare mein padho rotational symmetry kya hai mein.