Question

given BD is the angle bisector of ABC complete the flowchart proof below .Note that the last statement and reason has been filled for you

Answer 1

Box 1:

Statement

$\bar{BD}\text{ bisects }\angle ABC$

Reason

Given

Box 2 (left):

Statement

$\bar{AD}\cong\bar{CD}$

Reason

A segment bisector divides a segment into two congruent segments

Box 3:

Statement

$\bar{BD}\cong\bar{BD}$

Reason

Reflexive property

Box 4:

Statement

$\angle ADB\text{ }\cong\text{ }\angle CDB$

Reason

All right angles are congruent