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

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

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

Using this rule, we get

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

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