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Similarity and Enlargement

 

 

 

 

Lesson objectives

By the end of the lesson, you should be able to:

(i) Identify similar figures

(ii) Apply enlargement in a cartesian plane.

SIMILARITY AND ENLARGEMENT

In real life situations we encounter objects which have the same shape.The objects are said to be similar

 

 

 

 

Determining centre of enlargement and scale factor

Find the centre and scale factor of enlargement for triangle xyz with vertices X(2,3), Y (2,5) and Z(3,3) and its image x1y1z1 with vertices X1 (3,4), Y1 (3,8) and Z1 (5,4).

Solution

Join x to x1 and y to y1 and produce them to meet at point O. The centre of enlargement. The coordinates of O are O (1,2).
O is (1,2)

To find the scale factor of enlargement
Measure lines OX, OX1, OY, OY1, OZ and OZ1.
 Note that 34
                OX1OY1  = OZ1 =  2
                  OX      OY       OZ
The scale factor of an enlargement is +2.  This is a positive enlargement.

.

 

 



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KCSE ONLINE WEBSITE provide KCSE, KCPE and MOCK Past Papers which play a great role in students� performance in the KCSE examination.

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective 

Ask for clarification if in doubt, vitae dignissim est posuere id.

 Similarity and Enlargement 




sit amet congue Mock Past Papers, give you an actual exam situation in readiness for your forthcoming national examination from the Kenya National Examination Council KNEC

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien. 

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien. 



 Similarity and Enlargement

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