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ENLARGEMENT AND REDUCTION OF PLANE FIGURES

CONTENT

  1. Enlargement/Reduction of Plane Figures
  2. The Radial Method and Method of Length of Side

 

Enlargement and Reduction of Plane Figures

An object is enlarged when all of its dimensions are changed in the same ratio. Thus, enlargement is also called transformation. Each length of the objects is multiplied by the same number called scale factor to obtain the enlargement.

When the scale factor is less than one, the original objects is reduced.

I.e. Scale Factor = length of enlargement/corresponding length.

Examples of enlargement/reduction of plane shapes include:

ENLARGEMENT OF PLANE FIGURES

Drawing a Triangle Which is Twice the Size of the Original Triangle

Procedure:

  1. Draw the given triangle ABC
  2. Draw DB perpendicularly to AB, such that BD=AB
  3. With center A, and radius AD, draw an arc to meet AB at E
  4. From E, draw EF parallel to BC, with F on line AC
  5. Draw lines to join AEF to give the triangle double in size.

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