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  SPM > Matematik
SPM :: MATEMATIK

Transformation III

Multiple choice questions – PAPER 1 (Single Transformation)

 

Choose the correct answer.

 
1

In Diagram 1, triangle ADE is the image of triangle ABC under the enlargement at centre A.

Find the scale factor of the enlargement.

 

A

 

B

 

C

2
 

D

3 

 
2

In Diagram 2, Q is an image of P under a rotation of 90 anti clockwise.

State the coordinates of the centre of rotation.

 

A

(5, 5)
 

B

(6, 2)
 

C

(6, 1)
 

D

(5, 6)

 
3

Diagram 3 shows the point K and the line y = x + 1. Transformation P represents a reflection in the line y = x.

State the coordinates of the image of point M under the transformation P.

 

A

(4, 1)
 

B

(0, -2)
 

C

(3, 1)
 

D

(5, 3)

 


Subjective questions – PAPER 2 (Combined Transformation)

1.

Diagram 4 above shows three quadrilaterals ABCD, EFGH and PQRS drawn on a Cartesian plane.

(a)

Transformation M represents a translation . Transformation N represents a 90 ° clockwise rotation about centre E. Find the coordinates of the image of:

i.

point S under the transformation M,

ii.

point A under the transformation N,

iii.

point P under the transformation NM.

 

(b)

Quadrilateral EFGH is an image of quadrilateral ABCD under the transformation a while quadrilateral PQRS is an image of a quadrilateral EFGH under the transformation b . Describe in full, a and b.

 

(c)

If the area of quadrilateral PQRS is 52 unit, calculate the area of quadrilateral EFGH.

 

 

Answer & Explanation

Notes



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