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Balbharati solutions for Class 9 chapter 2 - Parallel Lines

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Balbharati Balbharati Class 9 Mathematics 2 Geometry

Balbharati Class 9 Mathematics 2 Geometry - Shaalaa.com

Chapter 2: Parallel Lines

Practice Set 2.1Practice Set 2.2Problem Set 2

Balbharati solutions for Class 9 Chapter 2 Exercise Practice Set 2.1 [Pages 17 - 18]

Practice Set 2.1 | Q 1 | Page 17

In the given figure , line RP || line MS and line DK is their transversal. `angle` DHP = 85

Find the measures of following angles.
(i) `angle` RHD     
(ii) `angle` PHG
(iii) `angle` HGS   
(iv) `angle`  MGK
Practice Set 2.1 | Q 2 | Page 17

In the given figure, line p || line q and line l and line m are transversals. Measures of some angles are shown.

Hence find the measures of `angle`a, `angle` b, `angle` c, `angle`d.

Practice Set 2.1 | Q 3 | Page 17

In the given figure, line l || line m and line n || line p.

Find `angle`a, `angle` b, `angle` c  from the given measure of an angle.

Practice Set 2.1 | Q 4 | Page 17

In the given figure, sides of `angle` PQR and `angle` XYZ are parallel to each other.

Prove that, `angle` PQR  ≅ `angle` XYZ.

Practice Set 2.1 | Q 5 | Page 18

In the given figure, line AB || line CD and  line PQ is transversal. Measure of one of the angles is given. Hence find the measures of the following angles. 

(i) ∠ART
(ii) ∠CTQ
(iii) ∠DTQ
(iv) ∠PRB

Balbharati solutions for Class 9 Chapter 2 Exercise Practice Set 2.2 [Pages 21 - 22]

Practice Set 2.2 | Q 1 | Page 21

In the given figure, y = 108° and x = 71° Are the lines m and n parallel ? Justify ?

Practice Set 2.2 | Q 2 | Page 21

In the given figure, if `angle` a ≅ `angle` b then prove that line l || line m.

Practice Set 2.2 | Q 3 | Page 21

In the given figure, if `angle` a ≅ `angle` b and `angle` x ≅ `angle` y

then prove that line l || line n.

Practice Set 2.2 | Q 4 | Page 21

In the given figure, if ray BA || ray DE, `angle` C = 50° and `angle` D = 100° . Find the measure of `angle` ABC.

Practice Set 2.2 | Q 5 | Page 22

In the given figure, ray AE || ray BD, ray AF is the bisector of `angle` EAB and ray BC is the bisector of `angle` ABD.

Prove that line AF || line BC.

Practice Set 2.2 | Q 6 | Page 22

A transversal EF of line AB and line CD intersects the lines at point P and Q respectively. Ray PR and ray QS are parallel and bisectors `angle` BPQ and `angle` PQC respectively.

Prove that line AB || line CD.

Balbharati solutions for Class 9 Chapter 2 Exercise Problem Set 2 [Pages 22 - 23]

Problem Set 2 | Q 1.1 | Page 22

Select the correct alternative and fill in the blank in the following statement
 If a transversal intersects two parallel lines then the sum of interior angles on the same side of the transversal is ............

  • 90°

  • 180°

  • 360°

Problem Set 2 | Q 1.2 | Page 22

Select the correct alternative and fill in the blank in the following statement.
The number of angles formed by a transversal of two lines is ............

  • 2

  • 4

  • 8

  • 16

Problem Set 2 | Q 1.3 | Page 22

Select the correct alternative and fill in the blank in the following statement.
A transversal intersects two parallel lines. If the measure of one of the angles is 40 then the measure of its corresponding angle is .............

  • 40°

  • 140°

  • 50°

  • 180°

Problem Set 2 | Q 1.4 | Page 22

Select the correct alternative and fill in the blank in the following statement.

In ΔABC, ∠A = 76°, ∠B = 48°, ∴ C = ..............

  • 66°

  • 56°

  • 124°

  • 28°

Problem Set 2 | Q 1.5 | Page 22

Select the correct alternative and fill in the blank in the following statement.
Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75° then the measure of the other angle is .............

  • 105°

  • 15°

  • 75°

  • 45°

Problem Set 2 | Q 2 | Page 22

Ray PQ and ray PR are perpendicular to each other. Points B and A are in the interior and exterior of `angle` QPR respectively. Ray PB and ray PA are perpendicular to each other.Draw a figure showing all these rays and write -
(i) A pair of complementary angles  
(ii) A pair of supplementary angles. 
(iii) A pair of congruent angles.

Problem Set 2 | Q 3 | Page 23

Prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line also.

Problem Set 2 | Q 4 | Page 23

In the given figure, measures of some angles are shown.

Using the measures find the measures of `angle` x and `angle` y and hence show that line l || line m.

Problem Set 2 | Q 5 | Page 23

Line AB || line CD || line EF and line QP is their transversal. If y : z = 3 : 7 then find  the measure of `angle` x. 

Problem Set 2 | Q 6 | Page 23

In the given figure, if line q || line r, line p is their transversal and if a = 80° find the values of f and g.

Problem Set 2 | Q 7 | Page 23

In the given figure, if line AB || line CF  and line BC || line ED

then prove that `angle` ABC = `angle` FDE.

Problem Set 2 | Q 8 | Page 23

In the given figure, line PS is a transversal  of parallel line AB and line CD. If Ray QX, ray QY, ray RX, ray RY are angle bisectors, then prove that `square` QXRY is a rectangle.

Chapter 2: Parallel Lines

Practice Set 2.1Practice Set 2.2Problem Set 2

Balbharati Balbharati Class 9 Mathematics 2 Geometry

Balbharati Class 9 Mathematics 2 Geometry - Shaalaa.com

Balbharati solutions for Class 9 Geometry chapter 2 - Parallel Lines

Balbharati solutions for Class 9 chapter 2 (Parallel Lines) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Balbharati Class 9 Mathematics 2 Geometry solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Geometry chapter 2 Parallel Lines are Concept of Parallel Line, Concept for Properties of Parallel Lines with Transversal, Use of properties of parallel lines, Test for Parallel Line.

Using Balbharati Class 9 solutions Parallel Lines exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board Class 9 prefer Balbharati Textbook Solutions to score more in exam.

Get the free view of chapter 2 Parallel Lines Class 9 extra questions for and can use Shaalaa.com to keep it handy for your exam preparation

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