Chapter 5: Introduction to Euclid's Geometry
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Worksheet Details:
- • Title: Class IX Math: Introduction to Euclid's Geometry Printable Sheet
- • Format: Print Optimized CSS stylesheet
- • Sections: Formulas checklist, 5 assessment questions, worked keys
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Class IX Mathematics: Introduction to Euclid's Geometry
Section I: Key Formulas
Section II: Answer the Questions
1. In the given figure, if 2 = 4 and 4 = 1, then using Euclid’s axiom prove that 1 = 2.
2. Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
3. Prove that "If two lines intersect each other, then the vertically opposite angles are equal." Using this theorem, find all the angles if ∠ POR : ∠ ROQ = 5 : 7 in the below figure where lines PQ and RS intersect each other at point O.
4. In the given figure, we have ∠1 = ∠ 2, ∠ 3 = ∠ 4. Show that ∠ ABC = ∠ DBC. State the Euclid’s axiom used.
5. In the figure, we have: AC = XD, C is the midpoint of AB and D is the mid-point of XY. Using an Euclid’s axiom, show that AB = XY.
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