English

Chapter 5: Parallel aur Intersecting Lines

Kaat'ti lines tay rishton wale angles banaati hain, aur kabhi na milne wali lines bhi khaas hain. Is chapter mein hum bina naape kaaton par angles nikaalenge, parallel lines samjhenge, transversal se unhe jaanchenge, set square se kheenchenge, aur alternate aur interior angles se angle paheliyan sulajhaayenge.

Is chapter mein tum

  • linear pair aur vertically opposite angles use karna
  • parallel aur perpendicular lines pehchaanna
  • corresponding angles se parallel lines jaanchna
  • parallel lines kheenchna aur alternate, interior angles se angles nikaalna

Topics

  1. Line ke Aar-Paar aur Perpendicular Lines NCERT 5.1–5.2

    Do kaat'ti lines 4 angles banaati hain: linear pair milkar 180°, vertically opposite barabar.

  2. Lines ke Beech NCERT 5.3–5.4

    Parallel lines: ek plane, kabhi nahi milti, hamesha barabar doori.

  3. Transversal aur Corresponding Angles NCERT 5.5–5.6

    Transversal 8 angles banaati hai; corresponding angles har kaat par ek hi sthaan par.

  4. Parallel Lines Kheenchna NCERT 5.7

    Ruler ke saath khiskta set square parallel lines kheenchta hai: corresponding angles barabar rehte hain.

  5. Alternate Angles NCERT 5.8–5.9

    Parallel lines mein alternate angles barabar (∠3 = ∠5, ∠4 = ∠6).

Key words

Linear pair
line par agal-bagal ke do angles; milkar 180°
Vertically opposite angles
do lines ke kaat par aamne-saamne ke angles; hamesha barabar
Perpendicular
90° par milti lines
Parallel lines
ek plane ki lines jo kabhi na milein
Transversal
do lines ko kaatne wali line
Corresponding angles
dono kaaton par ek hi sthaan ke angles
Alternate angles
lines ke beech transversal ke ulte taraf ke angles

Summary

  • Kaat'ti lines: linear pair milkar 180°, vertically opposite barabar.
  • Parallel lines ek plane mein, kabhi nahi milti; perpendicular 90° par milti.
  • Transversal 8 angles banaati hai; corresponding angles theek tab barabar jab lines parallel.
  • Parallel lines mein alternate angles barabar aur ek taraf ke interior angles milkar 180°.

Final exercise: poore chapter par khud ko parkho →