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Constructions

Grade

11

Term

3

  1. Construct the triangle ABC where AB = 7 cm, BC = 6 cm, and AC = 5 cm.

  2. Construct the perpendicular bisector of a line segment of length 8.4 cm.

  3. Construct an angle of 60° and bisect it to obtain an angle of 30°.

  4. Construct the triangle PQR where PQ = 6.5 cm, PQ^​R=90∘ and QR = 5 cm.

  5. Construct the circumcircle of the triangle PQR from question 4.

  6. Construct the triangle LMN where LM = 8 cm, LM^N=60∘ and MN = 7 cm.

  7. Construct the incircle of the triangle LMN from question 6.

  8. Construct a circle with a radius of 4 cm. Mark a point P on the circle and construct the tangent to the circle at P.

  9. Construct a circle with a radius of 3.5 cm and centre O. Mark a point P such that OP = 8 cm. Construct the pair of tangents from P to the circle.

  10. Construct a line segment of length 12​ cm.

  11. Construct a square equal in area to a given rectangle of sides 6 cm and 4 cm.

  12. Construct a triangle equal in area to a given quadrilateral ABCD.

  13. Construct the locus of a point that is equidistant from two intersecting lines.

  14. Construct the locus of a point that is 3 cm away from a fixed point P.

  15. Construct the triangle ABC with AB = 7 cm, AC = 8 cm and BC = 9 cm. Then construct a parallelogram ABEF equal in area to triangle ABC, with AB^E=60∘.

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