Link of diagram:http://i5.photobucket.com/albums/y151/susu_atari/no5.jpg
Note: it is NOT a virus. It's called Photobucket.
Anyone know how to do geometry proofs? If you do, I would be VERY grateful!!
2006-10-26 14:36:20 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
complementary means sum to 90 degrees. It is therefore given
ie JK is perpendicular to KM so
2006-10-26 14:42:29 · answer #1 · answered by Wal C 6 · 0⤊ 1⤋
This is a proof, There might be others that work too but this is NOT WRONG (as far as I can tell).
I use betweeness a lot and its kind of a complex geometric definition (although it makes complete sense in the real world) so you might want to look that up.
PROOF: Let JK be perpendicular to KM. Also, let OK be a line segment between JK and KM. By definition of perpendicular lines, angle JKM is right (90 degrees, or pi/2). Since OK is between JK and KM the measure of angle JKO = JKM - OKM and OKM = JKM - JKO. Thus, JKM = JKO + OKM. Also, JKM = 90 degrees so
90 = JKO + OKM. Therefore, by definition of complementary angles, angle JKO is complementary to angle OKM.
2006-10-27 03:36:32 · answer #2 · answered by RyBread 2 · 1⤊ 0⤋
I'm not sure what you mean by geometry proof, but the definition of the complement of an angle is 90º - that angle. In your diagram, JK is perpendicular to KM, meaning that JKM is a 90º angle. Since JKO and OKM together comprise the angle JKM, their sum must be 90º, so those two angles are complements of one another.
2006-10-26 21:44:48 · answer #3 · answered by gp4rts 7 · 0⤊ 1⤋
1) Segment JK is perp. to segment KM
Reason: Given
2) Angle JKM is a right angle
Reason: Def. of Perp.
3) Angle JKO is comp. to angle MKO
Reason: If 2 angles add up to 90 degrees then those angles are comp.
2006-10-27 21:43:55 · answer #4 · answered by Anonymous · 0⤊ 0⤋