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NCERT 6TH CLASS MATHS BASIC GEOMETRICAL LDEAS PART - lll

                                                                                                                    ANSWER KEY 
Multiple Choice questions: 

1. C. 6 elements
2. A. point of concurrence
3.  B. Capital letters of alphabet.
4. B. A divider
5. A. chord
6. D. four vertices
7. A. vertex
8. A. rays
9. B. intersection
10.  B. A plane
11.  B. two diagonals
12.  A. same line
13.  B. plane
14.  A. Zero
15.  C. acute angle


Match The Following:
    


Fill in the blanks:
1.  Point has no length, breadth, height or thickness.
2.  A line segment has a definite length.
3.  Curves that do not intersect themselves are called Simple curves.
4.  An ‘angle’ is made up of Two rays having a common end point.

 

True /False:
1.  True
2.  False. A line segment is a part of a line that has two end points
3.  False. A line is a straight path that is endless.
4.  False. Two lines in a plane intersect in a point or parallel.


Very Short Answer:
1.  (a) 
       
   
   (b)
        
       
2.    2

3.  (a)
        
    
     (b) 
         
     
     (c)   Not possible.
 
4. (a)  O is the centre of the circle.
    

5. (i)  U and N
   (ii)  U
   (iii) D
   (iv) A, Q, S and B
   (v)  A, P, T and B

6. (i) Line segment: A straight line drawn from any point to any other point is called as line segment.
    (ii) Line: Line is a straight path of points that goes on forever in two directions. It has infinite length,
        but no breadth and height.
   (iii) Intersecting lines: Interesting lines are lines that pass through the same point.
   (iv) Parallel lines: Parallel lines are never cross and always stay the same distance apart.


 

 
9. (i) Points P, Q and R are in the interior of the closed curve.
   (ii) points S and T are in the exterior of the closed curve.
  (iii) U and V are on the closed curve.



Short Answer:


2.  Segments are:

      

3. (i) Infinite number of lines can be passed through one given point.
   (ii) Only one line can pass through two given points.
   (iii) Three lines can pass through three non- collinear points.
 
       
 
 


Long Answer:

(b) Yes, the medians intersect each other at the same point G.
(c) The point of intersection of the medians of a triangle is called ‘Centroid’.
(d) No, this point cannot be out of the triangle.

2. (i) Yes, AD coincides with AM.
     
       
 
   (ii) The point on the median which divides it in the ratio 1: 2 is called centroid of the triangle.
   (iii) ∠ADC = ∠ADB = 90°
   (iv) Yes, D and M are the same points.

3. (i)  A, B and C lie on the line x.
    (ii) D, E and F lie on the line y.
   (iii) Q is the point inside ▢ABED
 
         

   (iv) Points R and S are outside the quadrilaterals ABED and BCFE.
   (v)  Lines x and y pass through the three points A, B, C and D, E, F respectively.


Assertion and Reason Answers:
(1)(b) Both A and R are true but R is not the correct explanation of A
(2)(b) Both A and R are true but R is not the correct explanation of A



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