The triangle between points A and B has a vertical height of 5 and a horizontal length of 3. The triangle between points B and C has a vertical height of 10 and a horizontal length of 6, as shown below. Which statement correctly describes the triangles?
Since the triangle between points A and B has a height of 5 and a length of 3, the slope of the line connecting points A and B is 5/3. Similarly, the slope of the line connecting points B and C is 10/6 or 5/3. Therefore, the two triangles have the same slopes and are similar.
