Question

2 are the triangles similar? if so, why? 18) △abc∼ a) not similar b) similar; aa similarity; △tas c) similar; sas similarity; △tas d) similar; sss similarity; △tas

Explanation:

• First, note that \(\angle BAC\) and \(\angle TAS\) are vertical angles. By the vertical - angles theorem, \(\angle BAC=\angle TAS\).
• We are given that \(\angle B=\angle T\).
• 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.

Answer:

B. similar; AA similarity; \(\triangle TAS\)