Question

Is △DBE similar to △ABC? If so, which postulate or theorem proves these two triangles are similar?

​△DBE​ is similar to ​△ABC​ by the ​SAS Similarity Theorem​.

​△DBE​ is similar to ​△ABC​ by the ​SSA Similarity Theorem​.

​△DBE​ is similar to ​△ABC​ by the ​SSS Similarity Theorem​.

​△DBE​ is not similar to ​△ABC​.

Answer 1

Answer: ​△DBE​ is similar to ​△ABC​ by the ​SAS Similarity Theorem​.

Explanation:

`(AB)/(BD)=(22)/(10)=(11)/(5)\\\\(BC)/(BE)=(33)/(15)=(11)/(5)`

Also,
`\angle B \cong \angle B` by the reflexive property, so the triangles are similar by SAS.