Write a flowchart proof: given BD bisects <abc and <1 is congruent to <3 and prove angle 2 is congruent to <3
given: BD bicets< ABC
PROVE: BC bicects<FBH
two column proof
To start, let's create a flowchart proof to prove that angle 2 is congruent to angle 3.
1. Draw a line segment BD that bisects angle ABC.
2. Label the two resulting angles as angle 1 and angle 2.
3. Given that angle 1 is congruent to angle 3, mark angle 3 as congruent to angle 1.
4. Since angle BD bisects angle ABC, we know that angle 1 and angle 2 are congruent.
5. By the Transitive Property of Congruence, angle 3 is congruent to angle 2.
This flowchart proof visually demonstrates the steps needed to prove that angle 2 is congruent to angle 3 based on the given information.