Question

Draw a line segment of length 9.2 CM construct its perpendicular bisector measure the two sides parts in which the perpendicular bisector divides the line segment what do you observe

Answer 1

Construction of perpendicular bisector for a line segment of length 9.2 cm.

• Draw line segment AB = 9.2 cm.
• With A as center and a radius more than half of AB, draw arc on either side of AB.
• Now, with same radius and center B cut the previous arcs.
• Let the points of intersections be X and Y.
• Join X and Y.
• Let the point of intersection of AB and XY be C.

Verification:

• Measure the lengths AC and BC.
• We can conclude that AC = BC = 4.6 cm.
• Therefore, XY divides AB into two equal halves.