Question

d) Draw a line segment of length 7 cm. Construct its perpendicular bisector.
Measure the two parts of the line segment,​

Answer 1

$\rm\bf\underline{Solution:}$

$Steps \: \: of \: \: \: construction:$

Step I - Draw a line segment AB = 7 cm with the help ruler.

Step II - with vertex A, by using compass take more than half of AB and draw arcs, one each side of AB.

Step III - with vertex B, by using compass with same length, cut the previous arcs at X and Y respectively.

Step IV - with help of ruler join the point X and Y Thus XY is the perpendicular bisector of line AB.

Answer 2

Answer:

The perpendicular bisector of a line segment

The perpendicular bisector of a line segmentopen the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

The perpendicular bisector of a line segmentopen the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.Call the two points where these two arcs meet C and D. Draw the line between C and D.

The perpendicular bisector of a line segmentopen the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.Call the two points where these two arcs meet C and D. Draw the line between C and D.CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

The perpendicular bisector of a line segmentopen the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.Call the two points where these two arcs meet C and D. Draw the line between C and D.CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.Proof. top.