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Aim of the activity - to make a rhombus by paper folding .
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Objective
To obtain a parallelogram by paper folding, whose adjacent sides are given.
Prerequisite Knowledge
Parallelogram is a quadrilateral in which the pairs of opposite sides are equal and parallel.
Basic properties of parallelogram.
Materials Required
Glazed papers, pen, pencil, scale.
Procedure
Take a sheet of glazed paper. Draw any two intersecting rays AB and BC such that they form an acute angle which will be the two adjacent sides of a parallelogram.
cbse-class-9-maths-lab-manual-parallelogram-1
Fold the paper along a line that cuts the line BC, the part of line BC that lies on one side of the line of fold falls on the other part. Make a crease, such that X1Y1 ⊥BC and unfold the paper.
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Fold the paper such that line passes through the point A and is parallel to BC. Make a crease and unfold the paper. Draw the dotted line X2Y2.
cbse-class-9-maths-lab-manual-parallelogram-3
Fold the paper along the line that passes through the point C which is parallel to the line AB and cuts the line X2Y2. Make a crease and unfold it. Draw the line X3Y3 parallel to AB. Mark the intersecting point of X2Y2 and X3Y3 as D.
cbse-class-9-maths-lab-manual-parallelogram-4
Observation
Since AD is parallel to BC and DC is parallel to AB, ABCD is the required parallelogram
Result
ABCD is the required parallelogram having AB and BC as its two adjacent sides.
Activity to make a rhombus by paper folding
- To make a rhombus by paper folding .
- 2 plane sheets of paper , a pencil and a ruler
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1) Draw a line segment AC on any length, say 4 cm.
2) Fold the paper in such a way that point A falls over point C . make a crease along the line of fold and then unfold the paper . draw line PQ along the line of fold.
3) Mark a point B on the line PQ .
4) Now , fold the paper along the line segment AC . make a second fold along the line passing through the points A and B . make a crease and then unfold the paper . draw lines l and m along the lines of fold such that l cut PQ at B and m cut PQ at D.
5) Fold the paper along the line passing through B and C . make a crease and unfold the paper . draw BC along the line of fold .
6) Now fold the paper along the line passing through C and D . again make a crease and unfold the paper .
☺️ A rhombus ABCD is formed .
Note - see the fig. a , b ,c in second attachment !