Answer:
Δ ABC ~ Δ DEF ......{By Converse of Side-Side-Side Similarity test}..Proof is given below.
Step-by-step explanation:
Given:
[tex]\frac{AB}{DE} =\frac{BC}{EF} =\frac{AC}{DF}[/tex]..........Given
To Prove
Δ ABC ~ Δ DEF
Proof:
In Δ ABC and Δ DEF
[tex]\frac{AB}{DE} =\frac{BC}{EF} =\frac{AC}{DF}[/tex]..........Given
Which are the corresponding sides of similar triangles in proportion.
We know that If two triangles are similar then their corresponding sides are in proportion.
∴ Δ ABC ~ Δ DEF ......{By Converse of Side-Side-Side Similarity test}..Proved
