Exercise 1 Page 572

Find a point which is 3 units from point A and 3 units from point B.

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We know that ⊙ A and ⊙ B consist of points that are 3 units from the centers. Additionally, the given figure shows that ⊙ A and ⊙ B intersect twice.

Now we want to draw ⊙ C so that it passes through points A and B. Note that ⊙ C also consists of points that are 3 units from the center. The center C of ⊙ C has to be a point that is 3 units from point A and 3 units from point B.

We can see that there are two points which are 3 units from point A and 3 units from point B. They are the points of intersection of ⊙ A and ⊙ B. Let's use one of these points as the center of ⊙ C.

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Exercise 1 Page 572

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