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there is a circle with a center point which is named K. line AB has endpoints on the circle.Construct a line through point K that is perpendicular to line AB. Prove that the line you constructed bisects line AB

2007-01-07 10:43:58 · 4 answers · asked by hi 3 in Science & Mathematics Mathematics

4 answers

If you draw in the line segments AK and BK, you'll see that you have two right triangles. If the line from K to AB intersects it at a point C, then you have right triangles KCA and KCB, because both angles at C are 90 degrees due to the perpendicular intersection. The triangles have congruent hypotenuses, KA and KB, because they are both radii of the circle. The triangles share leg KC. The pythagorean theorem then shows that segments AC and CB must be congruent to each other, and therefore must be equal to half the length of AB, so line KC is a bisector of AB.

2007-01-07 10:47:16 · answer #1 · answered by DavidK93 7 · 2 0

make a line that goes through the middle of line ab and through point k

2007-01-07 10:45:49 · answer #2 · answered by me m 2 · 0 3

Go to a website that is titled "Circles Are Awesome"
There is an explanation about drawing circles when you have three points. It seems to be related to your math question.

2007-01-07 11:00:54 · answer #3 · answered by flo 5 · 0 2

LIke Nike says "Just do it"....sorry I cant help I need to see the picture or u need to be more specific

2007-01-07 10:46:14 · answer #4 · answered by Anonymous · 0 3

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