SOLUTION: On page 336 Discover and prove a theorem about two lines tangent to a circle at the endpoints of a diameter.

Question 131623This question is from textbook Geometry
: On page 336
Discover and prove a theorem about two lines tangent to a circle at the endpoints of a diameter. This question is from textbook Geometry

Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
Draw a circle. Draw a diameter of the circle. Now draw a line tangent to that diameter at one endpoint. So it hits the endpoint of the diameter, and that is the only point it hits on the circle. You should have a theorem telling you the angle between this line and the diameter. Draw a line similarly at the diameter's other endpoint. That angle is the same (look for the theorem telling you what the angle is, or make a good guess from your picture). Now go back to the beginning of the book. You learned some theorem about how 2 lines are related if they both are related to a third line in the same way (it's the special way those angles are going to tell you). I did not want to give you the answer... hopefully this will make you think just enough. I hope it clarified things a bit. Sorry if it didn't... If that's the case, draw your picture, make a guess, and look for theorems to show why it looks that way. Good luck!
RELATED QUESTIONS
For A and B, find the standard form of the equation of each circle. A. With... (answered by Edwin McCravy)

Prove a theorem which says a line drawn from centre of circle to tangent is perpendicular (answered by ikleyn)

prove that tangents to a circle at the endpoints of a diamter are paralle. state what is... (answered by Alan3354)

write the equasion of a circle with a diameter having endpoints at (-2,6) and... (answered by scott8148)

Write the equation of a circle with a diameter having endpoints at (-2,6) and... (answered by Alan3354)

What is the equation of a circle with a diameter having endpoints at (3,2) and... (answered by ewatrrr)

find the equation of the diameter of a circle whose endpoints are at (6,11) and (-3,1) (answered by stanbon)

What is the equation of a circle having endpoints of it's diameter at (7,9)and... (answered by stanbon)

p(0,2) and q(4,0) are two points in a plane and 0 is the origin find the equation of the (answered by josgarithmetic)