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12. determine how (if possible) the triangles can be proved similar? aa…

Question

  1. determine how (if possible) the triangles can be proved similar?

aa~
not similar
sss~
sas~

Explanation:

Step1: Recall the AA similarity criterion

The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Step2: Analyze the given triangles

In the given figure, the two triangles have vertical angles (which are congruent). Also, the arrows indicate that two pairs of angles are congruent (due to the parallel - like orientation which implies alternate interior angles or corresponding angles are congruent). So, two pairs of angles are congruent.

Answer:

AA~