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Chapters
2: Fractions and Decimals
3: Data Handling
4: Simple Equations
5: Lines and Angles
6: The Triangle and its Properties
7: Congruence of Triangles
8: Comparing Quantities
9: Rational Numbers
▶ 10: Practical Geometry
11: Perimeter and Area
12: Algebraic Expressions
13: Exponents and Powers
14: Symmetry
15: Visualising Solid Shapes
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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.
NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.1 [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
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.
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?
NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.2 [Page 199]
Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.
Construct an equilateral triangle of side 5.5 cm.
Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?
Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.
NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.3 [Page 200]
Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.
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°.
Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.
NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.4 [Page 202]
Construct ΔABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm.
Construct ΔPQR if PQ = 5 cm, m∠PQR = 105° and m∠QRP = 40°. (Hint: Recall angle sum property of a triangle).
Examine whether you can construct ΔDEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.
NCERT solutions for Mathematics [English] Class 7 10 Practical Geometry Exercise 10.5 [Page 203]
Construct the right angled ΔPQR, where m∠Q = 90°, QR = 8 cm and PR = 10 cm.
Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long
Construct an isosceles right-angled triangle ABC, where, m∠ACB = 90° and AC = 6 cm.
Solutions for 10: Practical Geometry
NCERT solutions for Mathematics [English] Class 7 chapter 10 - Practical Geometry
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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).
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