Question

Ussions

les
ole
The diagram was created using straightedge and compass
tools. Point A is the center of one circle and point B is the
center of the other.
es
zes
What can be said about all points on line CD? Explain your
reasoning

Answer 1

All points on line CD are equidistant from A and B

Explanation:

Given that point A is the center of circle A and point B is the center of circle B, and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A is equal to the distances of all points on the line from the center B.