Question

Draw a line segment pq equal to 7cm. using ruler and compass,obtain a line segment 1\2pq .Measure each part

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Answer 1

Answer:

1.5 of each

Step-by-step explanation:

when we make a line perpendicular between PQ then each half length will be 1.5

Answer 2

The length of each part of PQ is 3.5 cm.

• To obtain a line segment 1/2pq , we draw perpendicular bisector of PQ.

Steps to draw perpendicular bisector of a line segment PQ is shown below:

1. Draw a line segment PQ of the given length 7cm.
2. Now place the compass and on any one end and measure any length more than half than the length of PQ and draw an arc above and below the segment.
3. Now using the same length place the compass on other side of the segment and intersect the arc drawn on both sides of the segment.
4. Now draw a line segment joining both the points and name the intersection of this line with the segment as M.
5. This line is the perpendicular bisector of line PQ.
6. Now measure the length PM or MQ using the compass and write the length.
7. The length obtained must be equal to 3.5 as it is the perpendicular bisector of the segment.