Question

A student is given this proofGlen AOM *DONProve: CON BOMMZAOMBOMLAOM S DONgiventransitiveproperty ofcongruenceLCON BOMtransitiveproperty ofcongruenceLBOM ALDON ZAOMLCONvertical angles vertical anglestheoremtheoremThe student says that the proof shows that AOM - BOM because they are vertical anglesWhich statement best corrects the student's interpretation?OA AOM BOM because they are complementary, not because they are vertical anglesOB LCON BOM because they are vertical angles.OC AOM BOM because they are supplementary, not because gey are vertical anglesOD SAOMBOM because they are both congruent to the same angle. not because they are vertical angles

Answer 1

According to the diagram:

`\angle BOM\cong\angle DON`

Since they are vertical angles, besides, the following information is given:

`\begin{gathered} \angle AOM\cong\angle DON \\ so\colon \\ \angle AOM\cong\angle BOM \end{gathered}`

Therefore, the answer is:

D.