Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement

Solution:

With the help of a ruler and a compass, we can draw a line segment.

Following are the steps to divide the line segment AB of length 12.8 cm into four equal parts.

Step 1: Draw a line segment AB of length 12.8 cm.

Step 2: Taking A and B as centers, draw arcs that intersect each other at points X and Y.

Step 3: Join XY that meets AB at point Q.

Step 4: Taking A and Q as centers, draw arcs that intersect each other at points L and M.

Step 5: Join LM that meets AB at point P.

Step 6: Taking Q and B as centers, draw arcs that intersect each other at point E and F.

Step 7: Join EF that meets AB at point R.

Hence, the line AB has now been divided into four equal parts that is, AP = PQ = QR = RB = 12.8 / 4 = 3.2 cm

NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 Question 4

Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.

Summary:

The line segment of length 12.8 cm is divided into four equal parts. On verifying by actual measurement AP = PQ = QR = RB = 3.2 cm.

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