Lab Manual: Equal Division of a Line Segment | Lab Manuals for Class 9 PDF Download

Objective

Prerequisite Knowledge
Intercept Theorem: If there are three (or more) parallel lines and intercepts made by them on any transversal are equal, then intercepts made by them on any other transversal are also equal.

Materials Required
A sheet of ruled paper in which all the lines are parallel and equidistant, tracing paper or transparent sheet, geometry box.

Procedure

• Take a piece of tracing paper sheet and draw a line segment of length 10 cm or 9 cm (let line segment is to be divided into 7 equal parts). Name it as PQ.
  
• Now, take a ruled sheet, and mark the lines as 0, 1, 2, 3, 4…10 from top to bottom.
• Place the paper strip (tracing paper) on the ruled sheet such that the point P coincides as with the line (ruled sheet) marked 0, and other point Q coincides with the line marked 7 as shown in fig.(i).
• Mark the points on PQ which are the points of intersection with lines of ruled sheet as A₁, A₂, A₃,…A₆.
• Now remove the ruled sheet.

Observation
7 equal parts will be obtained.
PA1 = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆Q.
Here, marked axis PQ is a transversal on parallel lines of ruled sheet with equal intercept. Therefore, PQ also has equal intercepts (By intercept theorem).

Result
Line PQ is divided into 7 equal parts.

Learning Outcome
By paper activity, a line segment of any measurement can be divided into equal parts.

Activity Time

• Draw a line segment of 7 cm, and divide it into 6 equal parts and draw perpendicular on the 4th point of line segment, by paper folding.
• Take any rectangular sheet of 5 cm by 9 cm and divide the edges of sheet in 8 equal parts.
• Take any rectangular sheet of 10 cm by 7 cm and divide along length in 10 equal parts and along the breadth in 7 equal parts (By paper folding).