Which sides are likely the ones making up the legs of the triangles?
See solution.
Practice makes perfect
When we write our proof we want to make it efficient. To prove that â–³ OPM and â–³ ONM are isosceles triangles, we only have to calculate the side lengths of OP and PM as well as MN and NO. If we prove that these sets of sides are congruent, the triangles are proven to be isosceles.
Goal:
OP ≅ PM and MN ≅ NO
Note that we do not have to calculate MO as this turns out to be the base of our two triangles.
