Solution:
Coordinates A (1, 2), B (3, 2) and C (3, 5) which forms a Right triangle.
AB=2 units, BC=3 units, →→By looking at the diagram depicted in coordinate plane.
AC=[tex]\sqrt{2^2+3^2}=\sqrt{13}[/tex] →→→ By using Pythagorean theorem
Now in ΔDEF, if Point F is located at (6,11),∠F=90°
DF=6 units,EF=4 units →→By looking at the diagram depicted in coordinate plane.
DF= [tex]\sqrt{6^2+4^2}=\sqrt{52}[/tex] →→→ By using Pythagorean theorem
In ΔEFD and ΔABC
∠F=∠B=90°
[tex]\frac{AB}{EF}=\frac{BC}{DF}=\frac{AC}{DE}=\frac{1}{2}[/tex]
ΔEFD ~ ΔABC by SAS or SSS
Option (C) Yes, corresponding parts have been multiplied by the same scale factor.
