RS Aggarwal 2021-2022 for Class 6 Maths Solutions Chapter 11- Line Segment, Ray and Line
RS Aggarwal Class 6 Math Solution Chapter 11- Line Segment, Ray and Line, Exercise 11A is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.
Rs Aggarwal Class 6 Math Solution Chapter 11- Line Segment, Ray and Line
Exercise 11A
1. Name all the line segments in each of the following figures.
Solution:
(i) Line segments are \(\overline { XY }\) and \(\overline { YZ } \)
(ii) Line segments are \(\overline { AD } , \overline { AB } , \overline { AC } , \overline { AE } , \overline { DB } , \overline { BC } \) and \(\overline { CE } \) ,
2. Identify and name the line segments and rays in each of the following figures:
Solution:
(i) Line segment is \(\overline { AB } \) and rays are \(\overrightarrow { AC } \) and \(\overrightarrow { BD } \)
3. In the adjoining figure, name
(i) four line segments
(ii) four rays
(iii) two non-intersecting line segments.
Solution:
(i) Line segments are \(\overline { PR } , \overline { QR } , \overline { PQ }\) and \(\overline { RS } \)
(ii) Four rays can be \(\overrightarrow { PA } , \overrightarrow { QC } , \overrightarrow { RB }\) and \(\overrightarrow { SD } \)
(iii) \(\overline { PS } , \overline { QS } \) are two non-intersecting lines.
4. What do you mean by collinear points?
(i) How many lines can you draw passing through three collinear points?
(ii) Given three collinear points A, B, C. How many lines segments do you determine? Name them.
Solution:
(i) Three or more points in a plane are said to be collinear if they all lie on the same line.
(ii) In the figure given above, points A, B, C are collinear points.
We can draw exactly one line passing through three collinear points
5. In the adjoining figure name:
(i) Four pair of intersecting lines.
(ii) Four collinear points
(iii) Three non-collinear points
(iv) Three concurrent lines
(v) Three lines whose points of intersection is P.
Solution:
(i) Four pairs of intersecting lines are : (AB, PQ) ; (AB, RS) ; (CD, PQ) ; (CD, RS)
(ii) Four collinear points are : A, Q, S, B
(iii) Three non-collinear points are : A, Q, P
(iv) Three concurrent lines are : AB, PS and RS.
(v) Three lines whose point of intersection is P are : CD, PQ and PS.
6. Mark three non- collinear points A, B, C as shown, Draw lines through these points taking two at a time. Name the lines. How many such different lines can be drawn.
⚫ C
A ⚫ ⚫ B
Solution:
The lines drawn through given points A, B, C are as shown below. The names of these lines are AB, BC and AC.
Also it is clear that three different lines can be drawn.
7. Count the number of line segments drawn in each of the following figures and name them:
Solution:
(i) In the the given figure (i), there are six line segments, namely AB, AC, AD, BD, BC, DC.
(ii) In the given figure (ii), there are ten line segments, namely, AD, AB, AC, AO, OC, BC, BD, BO, OD, CD.
(iii) In the given figure (iii), there are six line segments, namely AB, AF, BF, CD, DE, CE.
(iv) In the given figure (iv), there are twelve line segments, namely, AB, BC, CD, AD, BF, CG, DH, AE, EF, FG, GH, EH.
8. Consider the line line PQ given below and find whether the given statements are true or false
(i) M is a point on ray NQ
(ii) L is a point on ray MP
(iii) Ray MQ is different from ray NQ
(iv) L, M, N are points on line segment LN
(v) Ray LP is different from ray LQ
Solution:
(i) False, as M does not lie on \(\overrightarrow { NQ }\)
(ii) True
(iii) True
(iv) True
(v) True
9. Write "T" for true and 'F' for false in case of each of the following statements:
(i) Every point has a size.
(ii) A line segment has no length.
(iii) Every ray has a finite length.
(iv) The ray AB is the same as the ray BA
(v) The line segment AB is the same as the line segment RA
(vi) The line AB is the same as the line RA
(vii) Two points A and B in a plane determine a unique line segment.
(viii) Two intersecting lines intersect at a point.
(ix) Two intersecting planes intersect at a point
(x) If points A, B, C are collinear and points C, D, E are collinear then the points A, B, C, D, E are collinear.
(xi) One and only one ray can be drawn with a given end point.
(xii) One and only one line can be drawn to pass through two given points.
(xiii) An unlimited number of lines can be drawn to pass through a given point.
Solution:
(i) False
Point has no dimensions.
(ii) False
A line segment has a length.
(iii) False
A ray has no finite length.
(iv) False
If AB and ray BA have opposite directions.
(v) True
Length of AB and BA is same.
(vi) True
Line AB and BA are same.
(vii) True
Distance between A and B or B and A is same, so they determine a unique line segment.
(viii) True
Two lines intersect each other at one point.
(ix) False
Two intersecting planes intersect at one line not at one point.
(x) False
If A, B, C are collinear and points D, E are collinear then it is not necessary that there points A, B, C, D and E are collinear.
(xi) False
Infinite number of rays can be drawn with a given end point.
(xii) True
We can draw one and only one line passing through two given points.-
(xiii) True
We can draw infinite number of lines pass through a given point.
20. Fill in the blanks
(i) A line segment hus a ......... length
(ii) A ray has ........ end point.
(iii) A line has ........ end point.
(iv) A ray has no ......... length
(v) A line .......... be drawn on a paper.
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