Question

which theorem or postulate proves that △ abc and △ def are similar? ○ sss similarity theorer ○ sas similarity theorei ○ aa similarity postulat

Explanation:

To determine the similarity of \(\triangle ABC\) and \(\triangle DEF\), we analyze the given angles. In \(\triangle ABC\), \(\angle B\) and \(\angle C\) are marked, and in \(\triangle DEF\), \(\angle E\) and \(\angle F\) are marked. The AA (Angle - Angle) Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. From the diagram, we can see that two pairs of corresponding angles (e.g., \(\angle B\cong\angle E\) and \(\angle C\cong\angle F\)) are congruent, so the AA Similarity Postulate applies. The SSS Similarity Theorem requires three pairs of proportional sides, and the SAS Similarity Theorem requires two sides in proportion and the included angle congruent, which is not indicated here.

Answer:

AA Similarity Postulat