Answer:
Step-by-step explanation:
Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent
Then by the Pythagorean theorem:
[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]
[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]
SSS (side-side-side) All three corresponding sides are congruent. =>
ΔABC≅ΔFGH
