What is the reason for statement 5 in this proof?

given: δabc, where ab = bc (view diagram)
prove: m∠bac=m∠bca

statement
reason
1. let δabc be an isosceles triangle with
ab = bc.

given

2. create point d on side ac so bd bisects
∠abc.

constructing an angle bisector

3. m∠abd=m∠cbd

definition of angle bisector

4. bd = bd

reflexive property of equality

5. δabd≅δcbd

6. m∠bac=m∠bca

corresponding angles of congruent triangles have equal measures.

a. asa

b. sss

c. aas

d. sas

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)