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The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?

User Shiv Singh
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1 Answer

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Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then


(x,y)\to (kx,ky)

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:


(x,y)\to (3x,3y)

Using this rule, we get


A(7,4)\to A'(3(7),3(4))


A(7,4)\to A'(21,12)

Therefore, the coordinates of point A' are (21,12).

User Aashish Bhatnagar
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