CBSE Class 9 Introduction to Euclids Geometry Sure Shot Questions

CBSE Class 9 Introduction to Euclids Geometry Sure Shot Questions. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

1. What was name of the famous book of Euclid? How many chapters it had?

2. It is known that x + y =10. Is it true to say that x + y + p = 10 + p ?

3. If AB = CD, can you say that AC = BD? Give reasons for your answer.

4. If <1 = <2, <3 = <4 and <2 = <4, what is the relation between <1 and<2. Give reasons for your answer.

5. If AB = 4 cm, CD = 8cm and PQ = 2 times AB. Are CD and Pq equal? Which axiom is used for proving this?

6. AB = AC and AP = AQ. Can you say that BP = CQ? Which axioms are you using for this?

7. l = 3 cm long and lengths of lines m and n are three-fourth the length of l. Are m and n equal?

8. How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

9. Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.

10. Consider the following statement : There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a direct consequence of Euclid’s fifth postulate? Explain.

11. If A, B and C are three points on a line, and B lies between A and C, then prove that AB + BC = AC.

12. Prove that an equilateral triangle can be constructed on any given line segment.

13. If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB.Explain by drawing the figure.

14. In adjoining figure, if AC = BD, then prove that AB = CD.

19. In the above right sided Figure, we have : AC = XD, C is the mid-point of AB and D is the midpoint of XY. Using an Euclid’s axiom, show that AB = XY.

 

20. Solve using appropriate Euclid’s axiom: “Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.”

 

21. Solve using appropriate Euclid’s axiom: It is known that x + y = 10 and that x = z. Show that z +y = 10?

 

22. Solve using appropriate Euclid’s axiom: Look at the below Figure. Show that length AH > sum of lengths of AB + BC + CD.

23. Solve using appropriate Euclid’s axiom : In the below Figure, we have AB = BC, BX = BY.

Show that AX = CY

 

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