ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13

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ML Aggarwal Class 7 Solutions Chapter 13 Practical Geometry Ex 13 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13

Question 1.
Draw a line, say l, take a point P outside it. Through P, draw a line parallel to l using ruler and compasses only.
Solution:
Steps of Construction:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 1

Question 2.
Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point A, 3.5 cm away from line l. Through A, draw a line m parallel to l.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 2

Question 3.
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. If this line meets l at S, then what shape do the two sets of parallel lines inclose?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 3

Question 4.
Construct a triangle ABC, given that
(i) AB = 5 cm, BC = 6 cm and AC = 7 cm
(ii) AB = 4.5 cm, BC = 5 cm and AC = 6 cm.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 4
(ii) Steps of Construction:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 5

Question 5.
Construct a triangle PQR given that PQ = 5.4 cm, QR = PR = 4.7 cm. Name the triangle.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 6

Question 6.
Construct a triangle LMN such that the length of each side is 5.3 cm. Name the triangle.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 7

Question 7.
Construct a triangle ABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠ABC and name the triangle.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 8

Question 8.
Construct a triangle PQR, given that PQ = 3 cm, QR = 5.5 cm and ∠PQR = 60°.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 9

Question 9.
Construct ∆DEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 10

Question 10.
Construct an isosceles triangle in which the length of each of its equal sides is 6.5 cm and the angle between them is 110°. Measure base angles.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 11

Question 11.
Construct triangle XYZ if it is given that XY = 6 cm, ∠X = 30° and ∠Y = 100°.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 12

Question 12.
Construct a triangle PQR given that PQ = 4.9 cm, ∠P = 45° and ∠Q = 60°. Measure ∠R.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 13

Question 13.
Construct a triangle ABC such that AB = 4.1 cm, ∠B = 90° and hypotenuse AC = 5.2 cm.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 14

Question 14.
Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13 15