SOLUTION: Have a triangle (JKL) with J as point of triangle with a line going down to line K L and the point on the line where it meets is M .the angles created at M are right angles. The g

Algebra ->  Geometry-proofs -> SOLUTION: Have a triangle (JKL) with J as point of triangle with a line going down to line K L and the point on the line where it meets is M .the angles created at M are right angles. The g      Log On


   

Question 201874: Have a triangle (JKL) with J as point of triangle with a line going down to line K L and the point on the line where it meets is M .the angles created at M are right angles. The given is that angle KJM is equal to angle LJM and line JM bisects line KL. How do I write a 2 column proof for tringle JKL as an isosceles.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
If I understand you correctly, your givens are:
1. angle JMK and angle JML are right angles.
2. angle KJM is congruent to angle LJM
3. line JM biesect line KL.
from this you want to prove that triangle KJL is an isosceles triangle.
first you want to prove that triangle KJM and triangle LJM are congruent.
this would lead to angle JKM and anjgle JLM being equal.
this would also lead to KJ being congruent to LJ.
in the proof below, the statement is in the left hand column and the reason is in the right hand column. the second column shown below will be the statement in the parentheses.
example:
1. i will prove this for you (i think i know how).
the statement above is i will prove this for you which is in the left hand column. the reason is i think i know how which is shown in parentheses which means it will be in the right hand column.
here goes:
1. angle KJM = angle LJM (given).
2. angle KMJ and angle LMJ are right angles (given).
3. segment JM bisects segment KL (given).
4.