3.
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As you can see in the screenshot, once you plot the points for each rectangle, it becomes easier to see what's happening. In the first transformation, the rectangle is translated or slid. In the next 2 transformations, the rectangle is rotated. In the last transformation, the rectangle is dilated or shrunk. The first rectangle is the only translation.
A line segment can be divided into ratios.
<em>The coordinate of P on line segment AB is (5,1)</em>
Given
The position of P from A to B is:
So, from P to B would be:
So, the ratio is:
Simplify
<u>The coordinate of point P is:</u>
So, we have:
<em>Hence, the coordinate of P is (5,1)</em>
Read more about line ratios at: