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What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?

What are the coordinates of the image of L for a dilation with center (0,0) and scale-example-1
User Xaviert
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1 Answer

4 votes

Answer:


K' = ((1)/(4) ,0)


L' = ((1)/(4) ,1)


M' = ((5)/(4) ,1)


N' = ((5)/(4) ,0)

Explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;


If\ K =(1,0),\ then;


K' = (1)/(4) * (1,0)


K' = ((1)/(4) * 1,(1)/(4)*0)


K' = ((1)/(4) ,0)


If\ L =(1,4),\ then


L' = (1)/(4) * (1,4)


L' = ((1)/(4) * 1,(1)/(4)*4)


L' = ((1)/(4) ,1)


If\ M =(5,4),\ then


M' = (1)/(4) * (5,4)


M' = ((1)/(4) * 5,(1)/(4)*4)


M' = ((5)/(4) ,1)


If\ N =(5,0),\ then


N' = (1)/(4) * (5,0)


N' = ((1)/(4) * 5,(1)/(4)*0)


N' = ((5)/(4) ,0)

Hence, the coordinates of the dilated figure are:


K' = ((1)/(4) ,0)


L' = ((1)/(4) ,1)


M' = ((5)/(4) ,1)


N' = ((5)/(4) ,0)

User Parachute
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