Mathematics
Draw a line segment AB = 7.5 cm. Construct a perpendicular at point A using compass and ruler.
Answer
Steps of construction:
(i) Draw a line segment AB = 7.5 cm using a ruler.
(ii) With A as centre and a convenient radius, draw an arc cutting AB at a point P.
(iii) With P as centre and the same radius, draw an arc cutting the first arc at Q; with Q as centre, draw another arc cutting it at R.
(iv) With Q and R as centres and a radius more than half of QR, draw two arcs meeting at S.
(v) Join AS and produce it. Then AS is perpendicular to AB at A, i.e., ∠SAB = 90°.
Related Questions
A box contains 45 chocolates and 30 toffees.
(a) What is the ratio of chocolates to toffees?
(b) What is the ratio of toffees to total items?
Identify the variable term, constant term and the coefficient of the variable term in the expression 5x + 12. Solve the equation 4x + 7 = 23.
Classify the following angles as acute, obtuse, right, straight or reflex:
(a) 35° (b) 90° (c) 125° (d) 180° (e) 280°
A group of 40 students were asked their favourite subject. The replies were: 15 liked Mathematics, 12 liked Science, 8 liked English and the rest liked Social Studies. Draw a bar graph representing this data.