Class 9 Mathematics — Chapter 5: Introduction to Euclid's Geometry
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 5 (Introduction to Euclid's Geometry). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.
Sample questions
According to Euclid, a point is that which has:
Euclid's first definition states: 'A point is that which has no part.' A point has zero dimensions.
If AB = 2·PQ and CD = 2·PQ, then by Euclid's axioms, AB equals:
Both AB and CD are doubles of the same thing (PQ). By 'doubles of the same thing are equal', AB = CD.
Given: AB = CD, EF = CD, and GH = 2·AB. Using Euclid's axioms, which is true?
Step 1: AB = CD and EF = CD ⟹ AB = EF (Axiom 1: transitivity). Step 2: GH = 2·AB = 2·EF (Axiom 6: doubles of equals are equal). Therefore GH = 2·EF.
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