Ncert-maths-Introduction to Euclids Geometry -Set A Welcome to your Ncert-maths-Introduction to Euclids Geometry -Set A 1. It is known that if x = 2z and y = 2z, then x = y. Then Euclid’s axiom that illustrates this statement is sixth axiom second axiom seventh axiom fourth axiom None 2. Two distinct ________ lines cannot be parallel to the same line. Non-intersecting None of these Parallel Intersecting None 3. Which of the following is Euclid's first postulate? A straight line segment can be drawn joining any two points. A circle can be drawn with any centre and any radius. All right angles are equal to one another. The whole is greater then the part. None 4. Read the following axioms:(i) Things which are equal to the same thing are equal to one another.(ii) If equals are added to equals, the wholes are equal.(iii) Things which are double of the same thing are equal to one another.Check whether the given system of axioms is consistent or inconsistent. Inconsistent Neither Consistent Either None 5. Which one of the following statements is false ? A figure formed by line segments is called a rectilinear figure. Only one line can pass through a single point A terminated line can be produced indefinitely on both the sides. Two circles are equal when their radii are equal None 6. If C is the mid-point of the line segment AB and L is the mid-point of AC, then AL = 1/2 AB AL = 3/4 AB AL = 1/3 AB AL = 1/4 AB None 7. If AB, AC, AD and AE are parallel to a line ‘q’, then the points A, B, C, D and E are Collinear None of these Intersecting Non-collinear None 8. It is known that if x+y=10 then x+y+z=10+z. The Euclid's axiom that illustrates this statement is: First Axiom Second Axiom Fourth Axiom Third Axiom None 9. The number of line segments determined by three collinear points is 3 4 2 1 None 10. A statement accepted as true as the basis for argument or inference, is Axioms Corollary Conjecture Theorem None 11. The line segment with one end point at the centre and the other at any point on the circle is called __________. diameter chord None of these radius None 12. Two salesmen make equal sales during the month of August. In September, each salesman doubles his/her sale of the month of August. Compare their sales in September. None of the above Unequal sales in September Equal sales in September Ambiguous None 13. If point P lies on AB, then AB is always greater than AP. This concept is on which of the following Euclid's Axioms. Second Axiom First Axiom Third Axoim Fifth Axiom None 14. If C lies between A and B and AB = 10cm, AC = 3cm, then BC²= 13 cm² 9 cm² 49 cm² 7 cm² None 15. Which Euclid's postulate led to the discovery of several other geometries while attempting to prove it using other postulates and axioms Second Postulate Third Postulate First Postulate Fifth Postulate None 16. Given four distinct points in a plane. How many line segments can be drawn using them when no three of them are collinear? 4 1 6 8 None 17. Which of the following is NOT a Euclid's postulate? We can describe a circle with any center and radius Through a point not on a given line, exactly one parallel line may be drawn to the given line All right angles are equal to one another There is a unique line that passes through two given points None 18. Euclid stated that all right angles are equal to one another in the form of a/an .......... Postulate Defination Axiom Proof None 19. It is known that x+y=10, then x+y+z=10+z. The Euclid's axiom that illustrates this statement is First axiom Fourth axiom Second axiom Third axiom None 20. Read the following axioms:(i) Things which are equal to the same thing are equal to one another.(ii) If equals are added to equals, the wholes are equal.(iii) Things which are double of the same thing are equal to one another.Check whether the given system of axioms is consistent or inconsistent consistent inconsistent Only (i) & (ii) are consistent Only (iii) is consistent None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
