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6th Grade > Mathematics

BASIC GEOMETRICAL IDEAS MCQs

Total Questions : 100 | Page 6 of 10 pages
Question 51.


What do you understand by sector of a circle? Explain with a figure. [1 MARK]


 Discuss Question
Answer: Option A. ->
:


A circular sector or circle sector (symbol:), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger area is the major sector. In the diagram, θ is the central angle in radians, r is the radius of the circle, and L is the arc length of the minor sector.


What Do You Understand By Sector Of A Circle? Explain With A...


Question 52.


What is a line-segment? What is a ray? How many line segments can be made out of the following line?
What Is A Line-segment? What Is A Ray? How Many Line Segment...
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:
Line segment: 1 Mark
Ray: 1 Mark
Number of Lines segments: 1 Mark
In a line segment, the endpoints are fixed i.e. a line is contained between two points.
A ray is a portion of a line. It starts at one point and goes endlessly in one direction.
The line segments in the above figure are:
AB,AC,AD,AE,BC,BD,BE,CD,CE,DE.
Hence there 10 lines segments in the above figure.
Question 53.


Draw ABC. How is it different from BAC? Show with a figure. [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Drawing figures: 2 Marks
Reason: 1 Mark
In
ABC we use two lines AB and BC to make B whereas in BAC we use lines BA and AC to make angle A.


Draw ∠ABC. How Is It Different From ∠BAC? Show With A ...
 


Question 54.


How many lines can pass through


1. One given point?


2. Two given points?
[2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each Point: 1 Mark
1. An infinite number of lines can pass through one given point.


2. Only one line can pass through two given points. 


Question 55.


Sushma did not understand the difference between line and line segment. Explain both with the help of figure. [2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Definition: 1 Mark
Solution: 1 Mark
A line segment is a piece, or part, of a line in geometry.


A line segment is represented by endpoints on each end of the line segment.


A line in geometry is represented by a line with arrows at each end.


A line segment and a line are different because a line goes on forever while a line segment has a distinct beginning and end.


Sushma Did Not Understand The Difference Between Line And Li...


Question 56.


In the given fig., name the points lying,
a)The exterior of the Triangle QPR
b)The interior of the Triangle QPR
c)The triangle QPR itself.
In The Given Fig., Name The Points Lying,a)The Exterior Of T...
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:
Each option: 1 Mark
The points that are lying inside the triangle are  O, S
The points that are lying outside the triangle are T and N.
The only point that lies on the triangle is M.
Question 57.


Will the measure of ABC and of  CBD make the measure of  ABD in the given figure? Name all the rays in the figure. Which of the two angles share a common ray?
Will The Measure Of ∠ ABC And Of ∠ CBD Make The Measure...
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Explanation: 1 Mark
Solution: 1 Mark
Naming of Rays: 1 Mark
Common Ray: 1 Mark
In  ABC and  CBD, BC is a common arm. So,  ABC and  CBD form a linear pair.
Hence,  ABC +  CBD =  ABD.
The various rays in the above figure are BA, BC, BD.

The two angles that share a common ray are ABC and CBD.


Question 58.


Using the information given, name the right angles in each part of the given figures:
(a)   BA  BD
Using The Information Given, Name The Right Angles In Each P...
(b)   RT ST
Using The Information Given, Name The Right Angles In Each P...
(c)   AC BD
Using The Information Given, Name The Right Angles In Each P...
(d)  RS RW
Using The Information Given, Name The Right Angles In Each P...
(e)   AC BD
Using The Information Given, Name The Right Angles In Each P...
(f)   AE CE
Using The Information Given, Name The Right Angles In Each P...
(g)  AC  CD
Using The Information Given, Name The Right Angles In Each P...
(h)   OP AB
Using The Information Given, Name The Right Angles In Each P...
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each option: 0.5 Marks
(a)  ABD   
(b)  
RTS 
(c)  ACD and  ACB
(d)  
RTW and  RTS
(e)  
AED,  AEB,  BEC and  DEC
 (f)  
AEC
(g)  
ACD
(h)  
AKO, AKP,  BKO,  BKP


Question 59.


In Fig. alongside, O is the centre of the circle.
In Fig. alongside, O Is The Centre Of The Circle.(a)  Name...

(a)  Name all chords of the circle


(b)   Name all radii of the circle.


(c)  Name a chord, which is not the diameter of the circle.


(d)  Shade sectors OAC and OPB.


[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each option: 1 Mark
(a)  CP and AB are two chords of the circle.


(b)  OP, OC, OA and OB are all radii of the circle.


(c)  CP is a chord of the circle, which is not a diameter.
(d)   
In Fig. alongside, O Is The Centre Of The Circle.(a)  Name...


Question 60.


In fig.


(a)  What is AE + EC?


(b)  What is AC – EC?


(c)  What is BD – BE?


(d)  What is BD – DE?
In Fig.(a)  What Is AE + EC?(b)  What Is AC – EC?(c)  W...
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:
Each point: 1 Mark
(a)  In line segments AE and EC, point E is a common point
So, AE + EC = AC
   
(b)   In part (a) we have proved that:
AE + EC = AC
AC – EC = AE
(c)  For line segments BE and ED, point E is a common point.
So,   BE + ED = BD
  BE – BE = ED
(d)  Also, BE = BE + ED
BD – DE = BE   
( line segment ED = line segment DE)

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