SOLUTION: A diameter that is perpendicular to a chord___the chord and its arc Tangents to a circle from a point are (a)___ and (b) each tangent is ___ to the radius drawn to the point of

Algebra ->  Circles -> SOLUTION: A diameter that is perpendicular to a chord___the chord and its arc Tangents to a circle from a point are (a)___ and (b) each tangent is ___ to the radius drawn to the point of       Log On


   

Question 85770: A diameter that is perpendicular to a chord___the chord and its arc
Tangents to a circle from a point are (a)___ and (b) each tangent is ___ to the radius drawn to the point of tangency
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A diameter that is perpendicular to a chord___the chord and its arc
Let's draw a circle:
drawing%28400%2C400%2C-2%2C+2%2C+-2%2C2%2C+circle%280%2C0%2C1%29%29
Now let's draw a chord:


Now let's draw a diameter perpendicular to that chord

As you can see from the figure, that diameter bisects both the chord and its
arc. The word is "bisects".
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Tangents to a circle from a point are (a)___ and (b) each tangent is ___ to the radius drawn to the point of tangency
Draw a circle:
drawing%28300%2C200%2C-9%2C+18%2C+-9%2C9%2C+circle%280%2C0%2C8%29+%0D%0A+%29
Draw two tangents from an arbitrary point outside the circle:


They sure do look equal in lengthe, so the word you want for (a) is "equal"
Draw in an upper radius to the upper point of tangency:

It certainly looks like that upper radius is perpendicular to the upper tangent.
Draw in a lower radius to the lower point of tangency:

It certainly looks like that lower radius is perpendicular to the lower
tangent.
So the word for (b) is "perpendicular".
Edwin