Fill in the following 5 statements and 5 reasons used to complete this proof.

AD ≅ CD.

Step-by-step explanation:

Statement : consider triangles ADB and DBC.

1) AB = CD

2) ∠ABD = ∠DBC

3) DB = DB

4) ⇒ ΔADB and ΔDBC are congruent triangles.

5) AD = DC.

Reasons ;

1) given, AB = CB

2) given, DB bisects ∠ ABC

3) common side of both triangles

4) as two sides and one angle are equal in both triangles

5) congruent triangles

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional