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NCERT solutions for Mathematics [English] Class 7 chapter 10 - Practical Geometry [Latest edition]

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Solutions for Chapter 10: Practical Geometry

Below listed, you can find solutions for Chapter 10 of CBSE NCERT for Mathematics [English] Class 7.


Exercise 10.1Exercise 10.2Exercise 10.3Exercise 10.4Exercise 10.5
Exercise 10.1 [Page 196]

NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.1 [Page 196]

Exercise 10.1 | Q 1 | Page 196

Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only

Exercise 10.1 | Q 2 | Page 196

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Exercise 10.1 | Q 3 | Page 196

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Exercise 10.2 [Page 199]

NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.2 [Page 199]

Exercise 10.2 | Q 1 | Page 199

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Exercise 10.2 | Q 2 | Page 199

Construct an equilateral triangle of side 5.5 cm.

Exercise 10.2 | Q 3 | Page 199

Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?

Exercise 10.2 | Q 4 | Page 199

Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.

Exercise 10.3 [Page 200]

NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.3 [Page 200]

Exercise 10.3 | Q 1 | Page 200

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Exercise 10.3 | Q 2 | Page 200

Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is 110°.

Exercise 10.3 | Q 3 | Page 200

Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

Exercise 10.4 [Page 202]

NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.4 [Page 202]

Exercise 10.4 | Q 1 | Page 202

Construct ΔABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm.

Exercise 10.4 | Q 2 | Page 202

Construct ΔPQR if PQ = 5 cm, m∠PQR = 105° and m∠QRP = 40°. (Hint: Recall angle sum property of a triangle).

Exercise 10.4 | Q 3 | Page 202

Examine whether you can construct ΔDEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.

Exercise 10.5 [Page 203]

NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.5 [Page 203]

Exercise 10.5 | Q 1 | Page 203

Construct the right angled ΔPQR, where m∠Q = 90°, QR = 8 cm and PR = 10 cm.

Exercise 10.5 | Q 2 | Page 203

Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long

Exercise 10.5 | Q 3 | Page 203

Construct an isosceles right-angled triangle ABC, where, m∠ACB = 90° and AC = 6 cm.

Solutions for 10: Practical Geometry

Exercise 10.1Exercise 10.2Exercise 10.3Exercise 10.4Exercise 10.5

NCERT solutions for Mathematics [English] Class 7 chapter 10 - Practical Geometry

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 10 (Practical Geometry) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 7 chapter 10 Practical Geometry are Construction of a Line Parallel to a Given Line, Through a Point Not on the Line, Construction of Triangles, Constructing a Triangle When the Length of Its Three Sides Are Known (SSS Criterion), Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion), Constructing a Triangle When the Measures of Two of Its Angles and the Length of the Side Included Between Them is Given. (ASA Criterion), Constructing a Right-angled Triangle When the Length of One Leg and Its Hypotenuse Are Given (RHS Criterion).

Using NCERT Mathematics [English] Class 7 solutions Practical Geometry exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 10, Practical Geometry Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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