Class 7 Mathematics

Chapter 10 – Practical Geometry

Assignment

Q.1. Construct a right-angled triangle whose hypotenuse measures 5 cm and one of the other sides measures 3.2 cm.

Q.2. Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4.5 cm.

Q.3. Draw two parallel lines at a distance of 2.2 cm apart.

Q.4. Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45°.

Q.5. Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

Q.6. Construct an obtuse angled triangle which has a base of 5.5 cm and base angles of 30° and 120°.

Q.7. Construct an equilateral triangle ABC of side 6 cm.

Q.8. Draw an ∠BAC of measure 50° such that AB = 5 cm and AC = 7 cm. Through C draw a line parallel to AB and through B draw a line parallel to AC, intersecting each other at D. Measure BD and CD.

Q.9. Draw a line PQ. Draw another line parallel to PQ at a distance of 3 cm from it.

Q.10. 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.

Q.11. Draw a triangle ABC. Bisect side AB at D. Through D, draw a line parallel to BC, meeting AC in E. Measure AE and EC.

Q.12. Draw a triangle ABC with AB = 3 cm, BC = 4 cm and ∠B = 60°. Also, draw the bisector of angles C and A of the triangle, meeting in a point O. Measure ∠COA.

Q.13. Draw ∆ABC in which BC = 8 cm, ∠B = 50° and ∠A = 50° .

Q.14. Draw a right triangle with hypotenuse of length 5 cm and one side of length 4 cm.

Q.15. Draw a right triangle having hypotenuse of length 5.4 cm, and one of the acute angles of measure 30°.

Q.16. Construct a right triangle, right angled at C in which AB = 5.2 cm and BC = 4.6 cm.

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