15. Analyze the two triangles in diagram 15.

Analysis of Figure 15:

• The figure shows two triangles.
• The first triangle has all sides labeled as 30. This indicates it is an equilateral triangle, with all angles measuring 60°.
• The second triangle has all sides labeled as 45. This indicates it is also an equilateral triangle, with all angles measuring 60°.
• Since both triangles are equilateral, all their corresponding angles are equal (60°), and the ratio of their corresponding sides is constant (45/30 = 3/2). Therefore, both triangles are similar by the AAA similarity criterion and also by the SSS similarity criterion.