Problem

Complete the similarity proof from \(\angle~ADE~\cong~\angle~ABC\) and \(\angle~AED~\cong~\angle~ACB\). Convert the angle matches into vertex mappings, write the triangles in corresponding order, and name the AA criterion.

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Triangle ADE is similar to triangle ABC by AA because ∠ADE = ∠ABC and ∠AED = ∠ACB.

Triangle AED is similar to triangle ACB by AA because ∠ADE = ∠ABC and ∠AED = ∠ACB.

Triangle ADE is similar to triangle ABC by AA because DE is parallel to BC, so the triangles have proportional corresponding sides.

Triangle ABC is similar to triangle AED by AA because ∠ADE = ∠ABC and ∠AED = ∠ACB.

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