Question

2
Draw a line segment of 8 cm and draw its perpendicular bisector.​

Answer 1

Answer:

Step-by-step explanation:

1. With P and Q as centers, draw arcs on both sides of PQ with equal radii. The radius should be more than half the length of PQ.

2. Let these arcs cut each other at points R and RS

3. Join RS which cuts PQ at D. Then RS = PQ Also ∠POR = 90°.

Hence, the line segment RS is the perpendicular bisector of PQ as it bisects PQ at P and is also perpendicular to PQ. On measuring the lengths of PR = 4cm, QR = 4 cm Since PR = QR, both are 4cm each ∴PR = QR

Answer 2

Answer:

For figure, refer to the attachment.

Steps of contruction:-

1. Draw a line segment AB of length 8cm.
2. Now place the pointer of compass on A and mark arcs on either sides of the line segment AB.
3. Repeat the process from point B.
4. Now join the two points where the arcs drawn by A and B cuts each other and extend the line on both sides and name the line l.
5. Now the line l is the perpendicular bisector of line segment AB.