The triangle between points A and B has a vertical heigh 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 on the graph below.

A. The two triangles are similar because the simplified ratio of the vertical height to the horizontal length for both triangles is 5/34
B. the two triangles are neither similar nor congruent because the corresponding vertical and horizontal distances are not equal.
C. The two triangles are congruent because the hypotenuses of both triangles lie on the same line.
D. The slopes of the hypotenuses of the two triangles are not equal since the triangles are not congruent.

The correct answer is A. The two triangles are similar because the simplified ratio of the vertical height to the horizontal length for both triangles is 5/34.