Aconjecture and the two-column proof used to prove the conjecture are shown. given: segment a b is congruent to segment b d, segment b d is congruent to segment c e, and segment c e is congruent to segment a c. prove: triangle a b c is an isosceles triangle. segment a d with endpoints d and a moving from left to right. segment a d is diagonally down to the left from point a. b is the midpoint of segment a d. segment a e shares endpoint at point a with segment a d. segment a e is diagonally down to the right from point a. c is the midpoint of segment a e. segment b c is horizontal between segment a d and segment a e. drag an expression or phrase to each box to complete the proof. statement reason 1. ab≅bd given 2. bd≅ce given 3. transitive property of congruence 4. given 5. ab≅ac 6. △abc is an isosceles triangle.