Whitney in KY Posted October 29, 2012 Share Posted October 29, 2012 2 column proof Line segment MB is a median of triangle PMF, and line segment MP is congruent to line segment MF. How do you prove that segment MB is an angle bisector? Thanks in advance! whitney Quote Link to comment Share on other sites More sharing options...
sandra in va Posted October 30, 2012 Share Posted October 30, 2012 sent you a pm! :) Quote Link to comment Share on other sites More sharing options...
regentrude Posted October 30, 2012 Share Posted October 30, 2012 2 column proofLine segment MB is a median of triangle PMF, and line segment MP is congruent to line segment MF. How do you prove that segment MB is an angle bisector? Consider triangles MBP and MBF. The triangles share side MB - by construction. BP is congruent with BF - because MB is a median and B is exactly in the middle of P and F MP is congruent to MF - as stated in the problem => Triangles MBP and MBF are congruent. => angle PMB = angle FMB angle PMF= angle PMB+ angle FMB = 2* angle PMB => MB is an angle bisector Quote Link to comment Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.