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

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong