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KiRa [710]
3 years ago
7

Can you prove triangle BAC is similar to triangle DFE ? Justify your answer.

Mathematics
2 answers:
MissTica3 years ago
7 0
You can use side-angle-side postulate 
kupik [55]3 years ago
7 0

Answer:

By AA property of similarity, triangles BAC and DFE are similar.

Step-by-step explanation:

Given information: AC║FE and AB║FD.

If a transversal line intersect two parallel lines, then the corresponding angles are equal.

In triangle BAC and triangle DFE

\angle ABC=\angle FDE                  (corresponding angles)

\angle ACB=\angle FED                  (corresponding angles)

Two corresponding angles of triangles are equal. So, by AA property of similarity both triangles BAC and  DFE are similar.

\triangle BAC\sim \triangle DFE

Hence proved.

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