Question

question 12: standard g.srt.2
these 2 triangles are similar because...
a. they are equilateral
b. they are isosceles
c. they are right triangles
d. aa~

Explanation:

To determine why the two triangles are similar, we analyze each option:

• Option a: There's no indication the triangles are equilateral (all sides equal, all angles 60°). We can't assume that from the diagram.
• Option b: Being isosceles (two sides equal) doesn't guarantee similarity. Similarity requires angle - angle (AA) or other similarity criteria, not just side equality.
• Option c: Just being right triangles (one right angle) isn't enough for similarity. We need more information about the other angles.
• Option d: The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. This is the standard way to prove triangle similarity, and it's the most appropriate reason here as the other options don't provide valid similarity reasons.

Answer:

d. AA~