Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]
∵ BC = 6 units
∵ EF = 3 units
∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]
∵ CA = 2 units
∵ FD = 1 units
∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]
∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
