Two triangles are similar. The sides of the first triangle are 8, 9 and 12. The smallest side of the second triangle is 6. Find the other two side lengths.

 The correct option is (C).

Step-by-step explanation:  We are given to select the graph that represents the reflection of triangle ABC over the line y = 0.

From the graph, we note that

the co-ordinates of the vertices of triangle ABC are A(1, -1), B(4, -1) and C(3, -3).

We know that

if a point (x, y) is reflected over the line y = 0 (x - axis), then the co-ordinates of he reflected point becomes

(x, y)   ⇒   (x, -y).

So, after reflection over y = 0, the co-ordinates of the vertices of the triangle ABC  becomes

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

and

C(3, -3)  ⇒  (3, 3).

When we plot these points on the co-ordinate grid and draw the reflected triangle, we found that the triangle coincides with the one shown in option (C).

The reflected triangle is shown is shown in the attached figure below.

Thus, option (C) is CORRECT.