Form 1 Mathematics
Using a ruler and a pair of compass only, construct a rhombus PQRS such that PQ = 6cm and SPQ = 75°.
Measure the length of PR. Form 1 Mathematics
(a) Using a ruler and a pair of compasses only, construct:
(i) a parallelogram ABCD, with line AB below as part of it, such that AD = 7 cm and angle BAD = 60°;
(ii) the locus of points equidistant from AB and AD;
(iii) the perpendicular bisector of BC. (b) (i) Mark the point P that lies on DC and is equidistant from AB and AD. (ii) Measure BP. (c) Describe the locus that the perpendicular bisector of BC represents. (d) Calculate the area of trapezium ABCP. Form 1 Mathematics
(a) Using a ruler and a pair of compasses only, construct a quadrilateral PQRS in which PQ = 5 cm, PS = 3 cm, QR = 4 cm, PQR = 135° and SPQ is a right angle.
(b) The quadrilateral PQRS represents a plot of land drawn to a scale of l:4000. Determine the actual length of RS in metres. Form 1 Mathematics
Using a ruler and a pair of compasses only, construct:
(a) a triangle LMN in which LM = 5 cm, LN = 5.6 cm and MLN = 45° (b) the circle that touches all the sides of the triangle. Form 1 Mathematics
Using a pair of compasses and ruler only, construct
a)i)Triangle ABC in which AB= 5 cm, <BAC=30 and <ABC = 105. ii)A circle that passes through he vertices of the triangle ABC. Measure the radius iii)the height of triangle ABC with AB as the base. Measure the height b) Determine the area of circle that lies outside the triangle correct to 2 decimal places Form 1 MathematicsForm 1 Mathematics
Line AB drawn below is a side of a triangle ABC.
(a) Using a pair of compasses and ruler only construct: (i) triangle ABC in which BC = 10cm and angle CAB = 90°; (ii) a rhombus BCDE such that angle CBE = 120°; (iii) a perpendicular from F, the point of intersection of the diagonals of the rhombus, to meet BE at G. Measure FG; (iv) a circle to touch all the sides of the rhombus. b) Determine the area of the region in the rhombus that lies outside the circle Form 1 MathematicsForm 1 Mathematics
Using a pair of compasses and a ruler only, construct
(a) (i) Triangle ABC in which AB =5cm, ˂BAC = 30^{0} and ˂ABC = 105^{0} (ii) A circle that passes through the vertices of the triangle ABC. Measure the radius (iii) The height of triangle ABC WITH AB as the base. Measure the height (b) Determine the area of the circle that lies outside the triangle correct to 2decimal places Form 1 MathematicsForm 1 Mathematics
(a) on the same diagram construct:
(i) triangle ABC such that AB = 9 cm, AC= 7 cm and angle CAB = 60°; (ii) the locus of a point P such that P is equidistant from A and B; (iii) the locus of a point Q such that CQ ≤ 3.5cm. (b) On the diagram in part (a): (i) shade the region R, containing all the points enclosed by the locus of P and the locus of Q, such that AP ≥ BP; (ii) find the area of the region shaded in part (b)(i) above. Form 1 Mathematics
Using a ruler and a pair of compasses only.
a) Construct triangle ABC in which BC = 8cm, angle ABC = 105^{0} and BAC =45^{0}
b) Drop a perpendicular from A to meet CB produced at p. Hence find the area of triangle ABC. Form 1 Mathematics
Construct a circle centre x and radius 2.5 cm. Construct a tangent from a point P, 6 cm from x to touch the circle at R. Measure the length PR.
Form 1 Mathematics
Using a pair of compasses and ruler only, construct a quadrilateral ABCD in which AB = 4cm, BC = 6 cm, AD = 3 cm, angle ABC = 135° and angle
DAB = 60°. Measure the size of angle BCD. Form 1 MathematicsForm 1 Mathematics
Using a ruler and a pair of compases only:
(a) construct a parallelogram PQRS in which PQ = 6 cm, QR = 4 cm and angle SPQ= 75°; (b) determine the perpendicular distance between PQ and SR. Form 1 MathematicsForm 1 Mathematics
Using a ruler and a pair of compasses only, construct a rhombus QRST in which angle TQR = 60^{0} and QS = 10 cm.
Form 1 MathematicsForm 1 Mathematics
The diagonals of a rhombus PQRS intersect at T. Given that p(2,2), Q(3, 6 ) and R(1, 5):
a) Draw the rhombus PQRS on the grid provided; b) State the coordinates of T. Form 1 MathematicsForm 1 MathematicsForm 1 Mathematics
Line BC below is a side of a triangle ABC and also a side of a parallelogram BCDE.
Using a ruler and a pair of compasses only construct:
(i) The triangle ABC given that angle ABC = 120^{0} and AB= 6cm (ii) The parallelogram BCDE whose area is equal to that of the triangle ABC and point E is on line AB Related Questions and Answers on Geometric ConstructionsForm 1 Mathematics
In this question use a ruler and a pair of compasses
Line PQ drawn below is part of a triangle PQR. Construct the triangle PQR in which
a) < QPR = 300 and line PR = 8cm b) On the same diagram construct triangle PRS such that points S and Q are no the opposite sides of PR<PS = PS and QS = 8cm c) A point T is on the a line passing through R and parallel to QS.If <QTS =90^{0}, locate possible positions of T and label them T^{1 }and T^{2}, Measure the length of T^{1}T^{2}. Form 1 Mathematics 
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