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.
answer
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.
answers
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.
answer
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.
answer
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
answers
Form 1 Mathematics
The figure below is a triangle XYZ. Using a pair of compasses and a ruler only, construct an inscribed circle such that the centre of the circle and the point x are the opposite sides of line Yz.
Answer
Form 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
ANSWERS
Form 1 Mathematics
Point C divide line AB given below externally in the ratio 5:2
By construction, determine the position of point c
Answer
Form 1 Mathematics
Using a pair of compasses and a ruler only, construct
(a) (i) Triangle ABC in which AB =5cm, ˂BAC = 300 and ˂ABC = 1050 (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
answers
Form 1 Mathematics
(a) Using a pair of compasses and ruler only, construct an escribed circle to touch side XZ of triangle XYZ drawn below
(b) Measure the radius of the circle
answer
Form 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.
answers
Form 1 Mathematics
Using a ruler and a pair of compasses only.
a) Construct triangle ABC in which BC = 8cm, angle ABC = 1050 and BAC =450
b) Drop a perpendicular from A to meet CB produced at p. Hence find the area of triangle ABC.
aNSWER
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.
answer
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.
answer
Form 1 Mathematics
(a) In the figure below, lines NA and NB represent tangents to a circle at points A and B.
Use a pair of compasses and ruler only to construct the circle. 
(b) Measure the radius of the circle.
answer
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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