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Use the figure below to answer the following question. Given AB/ED = BE/EC, which of the following justifies AEB ~ DEC?

Use the figure below to answer the following question Given AB ED BE EC which of the following justifies AEB DEC

Answer :

The correct answer is C: AA Similarity Postulate.

The AA (Angle-Angle) Similarity Postulate states that two triangles are similar if two angles of one triangle are congruent to two angles of another triangle. In the given figure, triangles ∆AEB and ∆DEC are considered.

Given the condition AE/ED = BE/EC, and noting that the vertical angles ∠AEB and ∠DEC are congruent (since they are vertically opposite angles), we can establish that ∆AEB ∼ ∆DEC by the AA similarity postulate.

Thus, the justification for ∆AEB ∼ ∆DEC based on the given proportion and congruent angles is correctly described by the AA Similarity Postulate.

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Rewritten by : Jeany

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