30 POINTS please help me!
1 answer:
To prove a similarity of a triangle, we use angles or sides. In this case we use angles to prove ∠ACB = ∠AED (Corresponding ∠s) ∠AED = ∠FDE (Alternate ∠s) ∠ABC = ∠ADE (Corresponding ∠s) ∠ADE = ∠FED (Alternate ∠s) ∠BAC = ∠EFD (sum of ∠s in a triangle) Now we know the similarity in the triangles. But it is necessary to write the similar triangle according to how the question ask. The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove. ∠ABC corressponds to ∠FED as stated above. ∴ ∆ABC is similar to ∆FED Similarly, if the question asks " ∆ACB is similar to ∆____. " We answer as ∆ACB is similar to ∆FDE. Answer is ∆ABC is similar to ∆FED.
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