Reduction

Definition of Reduction:

Reduction of regular plane figures can be defined as the technique of representing figures in a similar but smaller shape using a given proportion.

For Example: To reduce the size of a given rectangle ABCD shown below by a given proportion of 5:3.

Steps:

• Draw the given rectangle ABCD.

• Mark a point P at any convenient distance from the rectangle.

From P radiate lines to A, B, C, and D. (Draw lines from P to A, B, C, D)

• Draw any convenient angle at PE and divide into 5-equal parts.

• Draw a line A¹D¹ from unit 3, parallel to AD

• Draw D¹C¹ parallel to DC

• Draw C¹B¹ parallel to CB

• Draw B¹A¹ parallel to BA to complete the reduced rectangle.