When the slope of the angle bisector is 1, is the product of the slopes of the 2 lines forming the angle...












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When the slope of the angle bisector is 1, I have been told that the product of the slopes of the 2 lines forming the original angle is 1. Is this true?










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  • I think this is true expect for when the two lines are x and y axis.
    – Larry
    Dec 3 '18 at 0:59










  • Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
    – Ethan Bolker
    Dec 3 '18 at 0:59










  • thanks looking for a proof if there is one
    – asterix_1
    Dec 3 '18 at 3:07










  • the tangent of the two lines are reciprocals - it is easy to show it.
    – Moti
    Dec 4 '18 at 7:36
















0














When the slope of the angle bisector is 1, I have been told that the product of the slopes of the 2 lines forming the original angle is 1. Is this true?










share|cite|improve this question






















  • I think this is true expect for when the two lines are x and y axis.
    – Larry
    Dec 3 '18 at 0:59










  • Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
    – Ethan Bolker
    Dec 3 '18 at 0:59










  • thanks looking for a proof if there is one
    – asterix_1
    Dec 3 '18 at 3:07










  • the tangent of the two lines are reciprocals - it is easy to show it.
    – Moti
    Dec 4 '18 at 7:36














0












0








0







When the slope of the angle bisector is 1, I have been told that the product of the slopes of the 2 lines forming the original angle is 1. Is this true?










share|cite|improve this question













When the slope of the angle bisector is 1, I have been told that the product of the slopes of the 2 lines forming the original angle is 1. Is this true?







geometry angle slope






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share|cite|improve this question











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asked Dec 3 '18 at 0:49









asterix_1

11




11












  • I think this is true expect for when the two lines are x and y axis.
    – Larry
    Dec 3 '18 at 0:59










  • Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
    – Ethan Bolker
    Dec 3 '18 at 0:59










  • thanks looking for a proof if there is one
    – asterix_1
    Dec 3 '18 at 3:07










  • the tangent of the two lines are reciprocals - it is easy to show it.
    – Moti
    Dec 4 '18 at 7:36


















  • I think this is true expect for when the two lines are x and y axis.
    – Larry
    Dec 3 '18 at 0:59










  • Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
    – Ethan Bolker
    Dec 3 '18 at 0:59










  • thanks looking for a proof if there is one
    – asterix_1
    Dec 3 '18 at 3:07










  • the tangent of the two lines are reciprocals - it is easy to show it.
    – Moti
    Dec 4 '18 at 7:36
















I think this is true expect for when the two lines are x and y axis.
– Larry
Dec 3 '18 at 0:59




I think this is true expect for when the two lines are x and y axis.
– Larry
Dec 3 '18 at 0:59












Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
– Ethan Bolker
Dec 3 '18 at 0:59




Yes, it's true. You should draw a picture to convince yourself why, and answer your own question below.
– Ethan Bolker
Dec 3 '18 at 0:59












thanks looking for a proof if there is one
– asterix_1
Dec 3 '18 at 3:07




thanks looking for a proof if there is one
– asterix_1
Dec 3 '18 at 3:07












the tangent of the two lines are reciprocals - it is easy to show it.
– Moti
Dec 4 '18 at 7:36




the tangent of the two lines are reciprocals - it is easy to show it.
– Moti
Dec 4 '18 at 7:36










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