Answer:
The answer to your question is below
Step-by-step explanation:
Data
D (0, b)
E (a, b)
F(a, 0)
G (0, 0)
From this information, we conclude that the diagonals are EG and DF.
To prove that they are congruent we must calculate their length.
dEG = [tex]\sqrt{(0- b)^{2} + (0 - a)^{2}}[/tex]
dEG = [tex]\sqrt{b^{2} + a^{2}}[/tex]
dDF = [tex]\sqrt{(a - 0)^{2} + (0 - b)^{2}}[/tex]
dDF = [tex]\sqrt{a^{2} + b^{2}}[/tex]
Conclusion
The length of EG is equal to the length of DF, so they are congruent.
