As shown in the figure, O is an internal point of △ ABC, a'b'c 'is on OA, OB and OC respectively, and AB / / a'B', AC / / a'B ', verify that △ ABC is similar to △ a "b'c'

As shown in the figure, O is an internal point of △ ABC, a'b'c 'is on OA, OB and OC respectively, and AB / / a'B', AC / / a'B ', verify that △ ABC is similar to △ a "b'c'

Problems should be AC / / a'c '
prove:
Because AB / / a'B ', AC / / a'c'
So ob ': OB = OA': OA = OC ': OC
B'C'//BC
Because the three sides are parallel, the angle BAC = angle b'a'c ', the angle ABC = angle a'b'c', and the angle ACB = angle a'c'b '
So triangle ABC is similar to triangle a'b'c