take any three noncollinear points a ,b, c and draw triangle ABC through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass.
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Steps of construction:
Draw angle BAC = 50∘ such that AB = 5 cm and AC = 7 cm.
Cut an arc through C at an angle of 50∘
Draw a straight line passing through C and the arc. This line will be parallel to AB since ∠CAB=∠RCA=50∘
Alternate angles are equal; therefore the line is parallel to AB.
Again through B, cut an arc at an angle of 50∘and draw a line passing through B and this arc and say this intersects the line drawn parallel to AB at D.
∠SBA =∠BAC=50∘, since they are alternate angles. Therefore BD parallel to AC
Also we can measure BD = 7 cm and CD = 5 cm.
Q2 Draw a line PQ. Draw another line parallel to PQ at a distance of 3 cm from it.

Steps of construction:
Draw a line PQ.
Take any two points A and B on the line.
Construct ∠PBF=90∘ and ∠QAE=90∘
With A as centre and radius 3 cm cut AE at C.
With B as centre and radius 3 cm cut BF at D.
Join CD and produce it on either side to get the required line parallel to AB and at a distance of 5 cm from it.
Q3 Take any three non-collinear points A, B, C and draw ∠ABC. Through each vertex of the triangle, draw a line parallel to the opposite side.

Steps of construction:
Mark three non collinear points A, B and C such that none of them lie on the same line.
Join AB, BC and CA to form triangle ABC.
Parallel line to AC
With A as centre, draw an arc cutting AC and AB at T and U, respectively.
With centre B and the same radius as in the previous step, draw an arc on the opposite side of AB to cut AB at X.
With centre X and radius equal to TU, draw an arc cutting the arc drawn in the previous step at Y.
Join BY and produce in both directions to obtain the line parallel to AC.
Parallel line to AB
With B as centre, draw an arc cutting BC and BA at W and V, respectively.
With centre C and the same radius as in the previous step, draw an arc on the opposite side of BC to cut BC at P.
With centre P and radius equal to WV, draw an arc cutting the arc drawn in the previous step at Q.
Join CQ and produce in both directions to obtain the line parallel to AB.
Parallel line to BC
With B as centre, draw an arc cutting BC and BA at W and V, respectively (already drawn).
With centre A and the same radius as in the previous step, draw an arc on the opposite side of AB to cut AB at R.
With centre R and radius equal to WV, draw an arc cutting the arc drawn in the previous step at S.
Join AS and produce in both directions to obtain the line parallel to BC.
Q4. Draw two parallel lines at a distance of 5kms apart.

Steps of construction:
Draw a line PQ.
Take any two points A and B on the line.
Construct ∠PBF=90∘ and ∠QAE=90∘<
With A as centre and radius 5 cm cut AE at C.
With B as centre and radius 5 cm cut BF at D.
Join CD and produce it on either side to get the required line parallel to AB and at a distance of 5 cm from it.
Practise This Question
What do you mean by prime factorization?
Writing a number as a multiplication of any other number.
Writing a number as a multiplication of only prime factors.
Writing a number as a sum of only prime factors.
Writing a number as a sum of any other numbers.
Submit
Practise This Question
Choose the correct option.
72 = 2×2×2×3×3×3
105=3×5×7
625=5×5×5×5×5
162= 2×3×3×3×3×7
Submit


RD Sharma Solutions Class 7 Chapter 17 Exercises
Chapter 17 Exercise 17.2
Chapter 17 Exercise 17.3
Chapter 17 Exercise 17.4
Chapter 17 Exercise 17.5
RD Sharma Solutions Class 7 Chapters
Chapter 1 Integers
Chapter 2 Fractions
Chapter 3 Decimals
Chapter 4 Rational Numbers
Chapter 5 Operations On Rational Numbers
Chapter 6 Exponents
Chapter 7 Algebraic Expressions
Chapter 8 Linear Equations In One Variable
Chapter 9 Ratio And Proportion
Chapter 10 Unitary Method
Chapter 11 Percentage
Chapter 12 Profit And Loss
Chapter 13 Simple Interest
Chapter 14 Lines And Angles
Chapter 15 Properties Of Triangles
Chapter 16 Congruence
Chapter 17 Constructions
Chapter 18 Symmetry
Chapter 19 Visualising Solid Shapes
Chapter 20 Mensuration I
Chapter 21 Mensuration Ii Area Of Circle
Chapter 22 Data Handling I Collection Organisation Data
Chapter 23 Data Handling Ii Central Values
Chapter 24 Data Handling Iii Construction Of Bar Graphs
Chapter 25 Data Handling Iv Probability
Join BYJU'S RD Sharma Learning Program
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Draw angle BAC = 50∘ such that AB = 5 cm and AC = 7 cm.
Cut an arc through C at an angle of 50∘
Draw a straight line passing through C and the arc. This line will be parallel to AB since ∠CAB=∠RCA=50∘
Alternate angles are equal; therefore the line is parallel to AB.
Again through B, cut an arc at an angle of 50∘and draw a line passing through B and this arc and say this intersects the line drawn parallel to AB at D.
∠SBA =∠BAC=50∘, since they are alternate angles. Therefore BD parallel to AC
Also we can measure BD = 7 cm and CD = 5 cm.
Q2 Draw a line PQ. Draw another line parallel to PQ at a distance of 3 cm from it.

Steps of construction:
Draw a line PQ.
Take any two points A and B on the line.
Construct ∠PBF=90∘ and ∠QAE=90∘
With A as centre and radius 3 cm cut AE at C.
With B as centre and radius 3 cm cut BF at D.
Join CD and produce it on either side to get the required line parallel to AB and at a distance of 5 cm from it.
Q3 Take any three non-collinear points A, B, C and draw ∠ABC. Through each vertex of the triangle, draw a line parallel to the opposite side.

Steps of construction:
Mark three non collinear points A, B and C such that none of them lie on the same line.
Join AB, BC and CA to form triangle ABC.
Parallel line to AC
With A as centre, draw an arc cutting AC and AB at T and U, respectively.
With centre B and the same radius as in the previous step, draw an arc on the opposite side of AB to cut AB at X.
With centre X and radius equal to TU, draw an arc cutting the arc drawn in the previous step at Y.
Join BY and produce in both directions to obtain the line parallel to AC.
Parallel line to AB
With B as centre, draw an arc cutting BC and BA at W and V, respectively.
With centre C and the same radius as in the previous step, draw an arc on the opposite side of BC to cut BC at P.
With centre P and radius equal to WV, draw an arc cutting the arc drawn in the previous step at Q.
Join CQ and produce in both directions to obtain the line parallel to AB.
Parallel line to BC
With B as centre, draw an arc cutting BC and BA at W and V, respectively (already drawn).
With centre A and the same radius as in the previous step, draw an arc on the opposite side of AB to cut AB at R.
With centre R and radius equal to WV, draw an arc cutting the arc drawn in the previous step at S.
Join AS and produce in both directions to obtain the line parallel to BC.
Q4. Draw two parallel lines at a distance of 5kms apart.

Steps of construction:
Draw a line PQ.
Take any two points A and B on the line.
Construct ∠PBF=90∘ and ∠QAE=90∘<
With A as centre and radius 5 cm cut AE at C.
With B as centre and radius 5 cm cut BF at D.
Join CD and produce it on either side to get the required line parallel to AB and at a distance of 5 cm from it.
Practise This Question
What do you mean by prime factorization?
Writing a number as a multiplication of any other number.
Writing a number as a multiplication of only prime factors.
Writing a number as a sum of only prime factors.
Writing a number as a sum of any other numbers.
Submit
Practise This Question
Choose the correct option.
72 = 2×2×2×3×3×3
105=3×5×7
625=5×5×5×5×5
162= 2×3×3×3×3×7
Submit


RD Sharma Solutions Class 7 Chapter 17 Exercises
Chapter 17 Exercise 17.2
Chapter 17 Exercise 17.3
Chapter 17 Exercise 17.4
Chapter 17 Exercise 17.5
RD Sharma Solutions Class 7 Chapters
Chapter 1 Integers
Chapter 2 Fractions
Chapter 3 Decimals
Chapter 4 Rational Numbers
Chapter 5 Operations On Rational Numbers
Chapter 6 Exponents
Chapter 7 Algebraic Expressions
Chapter 8 Linear Equations In One Variable
Chapter 9 Ratio And Proportion
Chapter 10 Unitary Method
Chapter 11 Percentage
Chapter 12 Profit And Loss
Chapter 13 Simple Interest
Chapter 14 Lines And Angles
Chapter 15 Properties Of Triangles
Chapter 16 Congruence
Chapter 17 Constructions
Chapter 18 Symmetry
Chapter 19 Visualising Solid Shapes
Chapter 20 Mensuration I
Chapter 21 Mensuration Ii Area Of Circle
Chapter 22 Data Handling I Collection Organisation Data
Chapter 23 Data Handling Ii Central Values
Chapter 24 Data Handling Iii Construction Of Bar Graphs
Chapter 25 Data Handling Iv Probability
Join BYJU'S RD Sharma Learning Program
Submit
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ICSE
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JEE
NEET
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GMAT
Commerce
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CAT Exam
IAS Exam
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UPSC 2018
RESOURCES
Blog
Videos
CBSE Sample Papers
CBSE Question Papers
EXAM PREPARATION
Free CAT Prep
Free IAS Prep
Free GRE Prep
Free GMAT Prep
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Contact Us
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BYJU'S in Media
Students Stories - The Learning Tree
Faces of BYJU'S Life at BYJU'S
FOLLOW US
Free Resources
NCERT Solutions
NCERT Solutions for Class 6
NCERT Solutions for Class 7
NCERT Solutions for Class 8
NCERT Solutions for Class 9
NCERT Solutions for Class 10
NCERT Solutions for Class 11
NCERT Solutions for Class 12
RD Sharma Solutions
RS Aggarwal Solutions
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