Carla drew two triangles; triangle ABC and triangle PQR, on a grid. She planned to cut out the two triangles to make a flag. The vertices of triangle ABC are at A(1, 1), B(4, 5), and C(8, 1). The vertices of triangle PQR are at P(-2, 0), Q(-5, -4), and R(-9, 0).

Using the coordinates of the vertices of each triangle explain whether the two triangles are congruent, similar or neither.

Question

Carla drew two triangles; triangle ABC and triangle PQR, on a grid. She planned to cut out the two triangles to make a flag. The vertices of triangle ABC are at A(1, 1), B(4, 5), and C(8, 1). The vertices of triangle PQR are at P(-2, 0), Q(-5, -4), and R(-9, 0). 
  
Using the coordinates of the vertices of each triangle explain whether the two triangles are congruent, similar or neither.