KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
 geometrical constructions  FORM 1 LEVEL  SECTION I  PAPER 1  ALT B  KCSE 2011  QUESTION 11 Using a ruler and a pair of compasses only, construct triangle ABC such that AB = 4.5 cm, BC = 8.1 cm and angle CBA = 60°. Measure angle CAB.
(3 marks)
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ALT B  GEOMETRICAL CONSTRUCTIONS  SECTION 1  QUESTION 9  KCSE 2010  FORM 1 LEVELUsing a pair of compasses and a ruler only, construct:
(a) a triangle ABC such that AB = 6 cm, BC = 3.5cm and CA = 4 cm; (1 mark) (b) a circle to pass through the vertices of the triangle ABC. (2 marks) GEOMETRIC CONSTRUCTION  KCSE 1997  PAPER 1  SECTION B  FORM 1 LEVELUsing ruler and compasses only, construct triangle ABC such that AB = 4 cm, BC = 5 cm, and ∠ABC = 120°. Measure AC.
On the diagram, construct a circle which passes through the vertex of the triangle ABC. Measure the radius of the circle. Measure the shortest distance from the centre of the circle to line BC. QUESTION 4  KCSE 2023  CIRCLES, CHORDS AND TANGENTS  PAPER 2  FORM 3 LEVELIn this question, use a ruler and a pair of compasses. The following figure shows a circle, centre O. A tangent to the circle at P is drawn. Construct another tangent to the circle to intersect the drawn tangent at an angle of 60°. (3 marks)
QUESTION 24  KCSE 2023  Geometrical constructions  PAPER 1  FORM 1 LEVELIn this question, use a ruler and a pair of compasses only. Line PR is a diagonal of a quadrilateral PQRS, PR = 6 cm
QUESTION 13  KCSE 2021  GEOMETRICAL CONSTRUCTION  PAPER 2  FORM 1 LEVELThe figure below shows triangle XYZ. Using a ruler and a pair of compasses, locate a point M on the triangle such that M is 2 cm from line YX and is equidistant from lines YX and YZ. Measure length YM. (3 marks)
QUESTION 12  KCSE 2021  Geometrical Constructions  PAPER 1  FORM 1 LEVELLine AB drawn below is a side of a trapezium ABCD. (a) Using a ruler and pair of compasses only, complete trapezium ABCD in which AB is parallel to DC, BAD = 67.5°, AD = 5 cm, BC = 5.5 cm and ∠ABC is acute. (3 marks)
(b) Measure the length of DC. (1 mark) QUESTION 20  KCSE 2022  GEOMETRICAL CONSTRUCTIONS  PAPER 1  FORM 1 LEVEL In the figure below, line AB = 10 cm and is part of a trapezium ABCD. Point X is such that angle BAX = 45°.
Using a ruler and a pair of compasses only, construct a parallelogram ABCD in which AB=6cm, BC=5cm and angle ADC=150 degrees
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 11
Answera) Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC (3mks)

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