Q2 of 7 Page 223

Ajij divided a line segment XY of length 12 cm in some parts in such a way that each part is of length 2.4 cm. First decide how many parts are there and then divide the line XY into that number of equal parts.

The segment XY is of length 12 cm and let it be divided in n parts such that each part is 2.4 cm


Hence n × 2.4 = 12



⇒ n = 5


Hence the segment XY is divided in 5 parts


Let us begin the construction


Step1: Using scale draw a segment of length 12 cm and mark the endpoints as X and Y



Now we have to divide this segment in 5 equal parts


Step2: Draw a ray at any angle below XY from point X using a scale



Step3: Take any distance in compass and keep the needle of compass on point X and draw an arc intersecting the ray drawn in step2. Name the intersection point as X1. keeping the distance same in compass keep the needle on point X1 and mark an arc intersecting the ray at X2. Draw 5 such parts that is up to X5. By doing this we are making 5 equal parts on the ray



Step4: Join X5 and Y



Now we will draw lines parallel to X5Y from X4, X3, X2 and X1


Step5: Take any distance in compass keep the needle of compass on point X5 and mark an arc intersecting X5Y and ray drawn in step2 at A1 and B1 respectively. Keeping the distance in compass same keep the needle on point X4 and mark arc intersecting ray at B2.



Step6: Take distance A1B1 in compass keep the needle on point B2 mark an arc intersecting the arc drawn using X4 as centre at A2


Draw line passing through X4A2 which cuts XY at P4



Step7: Repeat step5 and step6 to draw lines parallel to X5Y from points X3, X2 and X1



More from this chapter

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1

Let's divide a line segment of length 9 cm in three equal parts by scale and pencil compassed and let's measure the length of the parts by scale.

 1

Rihana drew a straight-line segment PQ of length 10 cm I divided the line segment PQ in five equal parts by scale and compass. Let’s verify by scale which each part of segment is 2 cm or not.

 3

Anoara drew a triangle ABC in her exercise book. We bisect side BC by compass and then the median AD. I trisect AD in AE, EF and FD. Now we join B and F by scale and extended it to X such that it intersect AC at X.

Measuring by scale we see,


AX= CX(Let’s put the number)


 4

Let’s divide a line segment of length 12.6 cm into 7 equals parts, by scale and compass. Using the above construction let’s draw an equilateral. Triangle of length 7.2 cm.