NCERT Grade 7-Practical Geometry-Questions

NCERT Solutions for Class 7 Maths

Find 100% accurate solutions for NCERT Class VII Science. All questions have been explained and solved step-by-step, to help you understand thoroughly. Free Download option available!

Sign Up to Download as PDF

Practical Geometry

Exercise 1

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

2.    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.

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 meet 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 2

4.    Construct Δ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

5.    Construct an equilateral triangle of side 5.5 cm.

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

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

Exercise 3

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

9.    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°.

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

Exercise 4

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

12.   Construct Δ PQR if PQ = 5 cm, m∠ PQR = 105° and m∠ QRP = 40°.

Exercise 5

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

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

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

Exercise 6

16.  Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangle.

MySchoolPage connects you with exceptional, certified math tutors who help you stay focused, understand concepts better and score well in exams!

Mathematics - Videos

Physics - Videos

Biology - Videos

Chemistry - Videos