RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal

Read RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal below, students should study RD Sharma class 6 Mathematics available on Studiestoday.com with solved questions and answers. These chapter wise answers for class 6 Mathematics have been prepared by teacher of Grade 6. These RD Sharma class 6 Solutions have been designed as per the latest NCERT syllabus for class 6 and if practiced thoroughly can help you to score good marks in standard 6 Mathematics class tests and examinations

Exercise 15.1

 

Question 1: Identify parallel line segments shown in Fig. 15.6.

RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal

RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-

Solution 1:
(i) By the given figure we can find that BC || DE.
(ii) By the given figure we can find that AB || DC and AD || BC.
(iii) By the given figure we can find that AB || DC and AD || BC.
(iv) By the given figure we can find that PQ || TS,UT || QR and UP || SR.
(v) By the given figure we can find that AB || EF || CD,BC || AD and CF || DE.
(vi) By the given figure we can find that EF || BC,AB || DF and AC || DE.
 
 
Question 2:   Name the pairs of all possible parallel edges of the pencil box whose figure is shown in Fig. 15.7.
RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A

Solution 2:   The parallel edges of the pencil box are:-
AB || DC || HE || GF
AD || GH || BC || EF 
AH || DG || BE || CF
 
 
Question 3:   In Fig. 15.8, do the segments AB and CD intersect? Are they parallel? Give reasons. 
RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A1
 
Solution  3:   No, AB and CD line not intersect. But if we increase line CD from point C than it can intersect line AB.  AB and CD are not parallel lines because the distance between them is not same.
 
Question 4:   State which of the following statements are true (T) or which are false (F):
(i) If two lines in the same plane do not intersect, then they must be parallel.
(ii) Distance between two parallel lines is not same everywhere.
(iii) If m ⊥ l, n ⊥ l and m ≠ n, then m || n.
(iv) Two non-intersecting coplanar rays are parallel.
(v) If ray AB || line m, then line segment AB.
(vi) If line AB || line m, then line segment AB || m.
(vii) No two parallel line segments intersect.
(viii) Every pair of lines is a pair of coplanar lines.
(ix) Two lines perpendicular to the same line are parallel.
(x) A line perpendicular to one of two parallel lines is perpendicular to the other.
 
Solution 4:

(i) If two lines in the same plane do not intersect, then they must be parallel. True
(ii) Distance between two parallel lines is not same everywhere. False
(iii) If m ⊥ l, n ⊥ l and m ≠ n, then m || n. True
(iv) Two non-intersecting coplanar rays are parallel. False
(v) If ray AB || line m, then line segment AB. True
(vi) If line AB || line m, then line segment AB || m. True
(vii) No two parallel line segments intersect. True
(viii) Every pair of lines is a pair of coplanar lines. False
(ix) Two lines perpendicular to the same line are parallel. True
(x) A line perpendicular to one of two parallel lines is perpendicular to the other. True
 
 

Exercise 15.2

 
Question 1:   In Fig. 15.17, line n is a transversal to lines l and m. Identify the following:
RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A2
(i) Alternate and corresponding angles in Fig. 15.17 (i).
(ii) Angles alternate to ∠d and ∠g and angles corresponding to ∠f and ∠h in Fig. 15.17 (ii).
(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17. 
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii). 
 
Solution 1:

(i) The Alternate and corresponding angles according to given figure are below:-
Alternate interior Angles:- ∠BGH and ∠CHG; ∠AGH and ∠CHF
Alternate exterior Angles:- ∠AGE and ∠DHF; ∠EGB and ∠CHF
Corresponding Angles:- ∠EGB and ∠GHD; ∠EGA and ∠GHC; ∠BGH and ∠DHF; ∠AGF and ∠CHF.
 
(ii) The Alternate and corresponding angles according to given figure are below:-
Alternate Angles:-  ∠d and ∠g are ∠e and ∠b  
Corresponding Angles :- ∠f and ∠h are ∠c and ∠a.
 
(iii) The Alternate and corresponding angles according to l is transversal to m and n:- 
Alternate Angle:- ∠PQR is ∠QRA
Corresponding Angle:- ∠RQF is ∠BRA
Alternate Angle:- ∠PQE is ∠BRA
 
(iv) The Interior and Exterior angles according to given figure are below:-
Interior Angles:- ∠d, ∠f and ∠a, ∠e 
Exterior Angles:- ∠c, ∠g and ∠b, ∠h
 
Question 2:  Match column A and column B with the help of the Fig. 15.18:

RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A5

RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A3
 
Solution 2:

RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal-A4
 
RS Aggarwal Class 6 Mathematics Solutions Chapter 1 Number System
RS Aggarwal Class 6 Mathematics Solutions Chapter 2 Factors and Multiples
RS Aggarwal Class 6 Mathematics Solutions Chapter 3 Whole Numbers
RS Aggarwal Class 6 Mathematics Solutions Chapter 4 Integers
RS Aggarwal Class 6 Mathematics Solutions Chapter 5 Fractions
RS Aggarwal Class 6 Mathematics Solutions Chapter 6 Simplification using BODMAS
RS Aggarwal Class 6 Mathematics Solutions Chapter 7 Decimals
RS Aggarwal Class 6 Mathematics Solutions Chapter 8 Algebraic Expressions
RS Aggarwal Class 6 Mathematics Solutions Chapter 9 Linear Equations in One Variable
RS Aggarwal Class 6 Mathematics Solutions Chapter 10 Ratio Proportion and Unitary Method
RS Aggarwal Class 6 Mathematics Solutions Chapter 11 Line Segment Ray and Line
RS Aggarwal Class 6 Mathematics Solutions Chapter 12 Parallel Lines
RS Aggarwal Class 6 Mathematics Solutions Chapter 13 Angles and Their Measurement
RS Aggarwal Class 6 Mathematics Solutions Chapter 14 Constructions
RS Aggarwal Class 6 Mathematics Solutions Chapter 15 Polygons
RS Aggarwal Class 6 Mathematics Solutions Chapter 16 Triangles
RS Aggarwal Class 6 Mathematics Solutions Chapter 17 Quadrilaterals
RS Aggarwal Class 6 Mathematics Solutions Chapter 18 Circles
RS Aggarwal Class 6 Mathematics Solutions Chapter 19 Three-Dimensional Shapes
RS Aggarwal Class 6 Mathematics Solutions Chapter 20 Two-Dimensional Reflection Symmetry
RS Aggarwal Class 6 Mathematics Solutions Chapter 21 Concept of Perimeter and Area
RS Aggarwal Class 6 Mathematics Solutions Chapter 22 Data Handling
RS Aggarwal Class 6 Mathematics Solutions Chapter 23 Pictograph
RS Aggarwal Class 6 Mathematics Solutions Chapter 24 Bar Graph
RD Sharma Solutions Class 6 Maths
RD Sharma Solutions Class 6 Maths Chapter 1 Knowing our Numbers
RD Sharma Solutions Class 6 Maths Chapter 2 Playing with Numbers
RD Sharma Solutions Class 6 Maths Chapter 3 Whole Numbers
RD Sharma Solutions Class 6 Maths Chapter 4 Operations on Whole Numbers
RD Sharma Solutions Class 6 Maths Chapter 5 Negative Numbers and Integers
RD Sharma Solutions Class 6 Maths Chapter 6 Fractions
RD Sharma Solutions Class 6 Maths Chapter 7 Decimals
RD Sharma Solutions Class 6 Maths Chapter 8 Introduction to Algebra
RD Sharma Solutions Class 6 Maths Chapter 9 Ratio Proportion and Unitary Method
RD Sharma Solutions Class 6 Maths Chapter 10 Basic Geomatrical Concepts
RD Sharma Solutions Class 6 Maths Chapter 11 Angles
RD Sharma Solutions Class 6 Maths Chapter 12 Triangle
RD Sharma Solutions Class 6 Maths Chapter 13 Quadrilaterals
RD Sharma Solutions Class 6 Maths Chapter 14 Circles
RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal
RD Sharma Solutions Class 6 Maths Chapter 16 Understanding Three Dimensional Shapes
RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry
RD Sharma Solutions Class 6 Maths Chapter 18 Basic Geometrical Tools
RD Sharma Solutions Class 6 Maths Chapter 19 Geometrical Constructions
RD Sharma Solutions Class 6 Maths Chapter 20 Mensuration
RD Sharma Solutions Class 6 Maths Chapter 21 Data Handling Presentation of Data
RD Sharma Solutions Class 6 Maths Chapter 22 Data Handling Pictographs
RD Sharma Solutions Class 6 Maths Chapter 23 Data Handling Bar Graphs
RS Aggarwal Class 6 Mathematics Solutions
RS Aggarwal Class 6 Mathematics Solutions Chapter 1 Number System
RS Aggarwal Class 6 Mathematics Solutions Chapter 2 Factors and Multiples
RS Aggarwal Class 6 Mathematics Solutions Chapter 3 Whole Numbers
RS Aggarwal Class 6 Mathematics Solutions Chapter 4 Integers
RS Aggarwal Class 6 Mathematics Solutions Chapter 5 Fractions
RS Aggarwal Class 6 Mathematics Solutions Chapter 6 Simplification
RS Aggarwal Class 6 Mathematics Solutions Chapter 7 Decimals
RS Aggarwal Class 6 Mathematics Solutions Chapter 8 Algebraic Expressions
RS Aggarwal Class 6 Mathematics Solutions Chapter 9 Linear Equations in One Variable
RS Aggarwal Class 6 Mathematics Solutions Chapter 10 Ratio Proportion and Unitary Method
RS Aggarwal Class 6 Mathematics Solutions Chapter 11 Line Segment Ray and Line
RS Aggarwal Class 6 Mathematics Solutions Chapter 12 Parallel Lines
RS Aggarwal Class 6 Mathematics Solutions Chapter 13 Angles and Their Measurement
RS Aggarwal Class 6 Mathematics Solutions Chapter 14 Constructions
RS Aggarwal Class 6 Mathematics Solutions Chapter 15 Polygons
RS Aggarwal Class 6 Mathematics Solutions Chapter 16 Triangles
RS Aggarwal Class 6 Mathematics Solutions Chapter 17 Quadrilaterals
RS Aggarwal Class 6 Mathematics Solutions Chapter 18 Circles
RS Aggarwal Class 6 Mathematics Solutions Chapter 19 Three-Dimensional Shapes
RS Aggarwal Class 6 Mathematics Solutions Chapter 20 Two-Dimensional Reflection Symmetry
RS Aggarwal Class 6 Mathematics Solutions Chapter 21 Concept of Perimeter and Area
RS Aggarwal Class 6 Mathematics Solutions Chapter 22 Data Handling
RS Aggarwal Class 6 Mathematics Solutions Chapter 23 Pictograph
RS Aggarwal Class 6 Mathematics Solutions Chapter 24 Bar Graph