Asked by Sam
True or False
If two circles have 4 common tangents, then the two circles intersect.
If two circles have 4 common tangents, then the two circles intersect.
Answers
Answered by
Reiny
False
Draw a pair of intersecting circles and attempt to draw tangents, then
Draw a pair of non-intersecting circles. Were you able to draw 4 tangents? I was.
Take it one step further , ....
What if one circle is completely contained within a larger circle ?
Draw a pair of intersecting circles and attempt to draw tangents, then
Draw a pair of non-intersecting circles. Were you able to draw 4 tangents? I was.
Take it one step further , ....
What if one circle is completely contained within a larger circle ?
Answered by
Sam
Ok that's what I thought...thanks!
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