Math, asked by Amitkalwa7909, 1 year ago

Construct a line segment using ruler and compass.
(i) AB = 7.5 cm
(ii) CD = 3.6 cm
(iii) QR = 10 cm

Answers

Answered by dk6060805
12

CONSTRUCTION in 4 EASY STEPS

Step-by-step explanation:

1. Construction of Line Segment AB = 7.5 cm.

Stage 1: Draw line x. Imprint a point on hold as ‘A’.  

Stage 2: Hold the compasses pointer at zero point of ruler. Open it and put pencil point upto 7.5 cm.  

Stage 3: Taking note that opening of compasses does not change, mark the pointer on ‘A’ & swing a circular arc to cut x at B.  

Stage 4: AB is the required line fragment of asked length – 7.5 cm.

2. Construction of Line Segment CD = 3.6 cm.

Stage 1: Draw line y. Imprint a point on hold as ‘C’.  

Stage 2: Hold the compasses pointer at zero point of ruler. Open it and put pencil point upto 3.6 cm.  

Stage 3: Taking note that opening of compasses does not change, mark the pointer on ‘C’ & swing a circular arc to cut y at D.  

Stage 4: CD is the required line fragment of asked length – 3.6 cm.

3. Construction of Line Segment QR = 10 cm.

Stage 1: Draw line z. Imprint a point on hold as ‘Q’.  

Stage 2: Hold the compasses pointer at zero point of ruler. Open it and put pencil point upto 10 cm.  

Stage 3: Taking note that opening of compasses does not change, mark the pointer on ‘Q’ & swing a circular arc to cut y at R.  

Stage 4: QR is the required line fragment of asked length – 10 cm.

Answered by topwriters
10

Construction of a line segment using a ruler and compass.

Step-by-step explanation:

1) AB = 7.5 cm

  • Draw a straight line of any length.
  • Name one end as A.
  • Now take a compass and open it for 7.5 cm.
  • Place the compass at A and draw an arc on the line.
  • Mark the point of intersection as B.
  • AB is the line segment measuring 7.5 cm.

2) CD = 3.6 cm

  • Follow the above steps. Name one end of the line as C and cut an arc at 3.6 cm using a compass. Name it D. CD is the line segment measuring 3.6 cm.

3) QR = 10 cm

  • Follow the above steps. Name one end of the line as Q and cut an arc at 10 cm using a compass. Name it R. QR is the line segment measuring 3.6 cm.
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