On geometry

the following proof counts for question 48-50. write the missing statement or reason in each blank

given: ∠daf ≅ ∠ebf, ^- df ≅ ^- fe
prove: δadf ≅ δbfe

statement
a. ∠daf ≅ ∠ebf



^- df ≅ ^- fe


reasons
a. given

vertical angle are congruent

The Proof with Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅  FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

        Statements                                 Reasons

a. ∠DAF ≅ ∠EBF       Given

48. ∠DFA ≅ ∠EFB  Vertical Angles are congruent

DF ≅  FE                  49. Given

50. Δ ADF ≅ Δ BFE By Angle-Angle-Side test

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,