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(2, -1), B(3, -2), and C(1, -1). The vertices of triangle PQR are at P(6, -3), Q(9, -6), and R(3, -3).

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(2, -1), B(3, -2), and C(1, -1). The vertices of triangle PQR are at P(6, -3), Q(9, -6), and R(3, -3). 
  
Using the coordinates of the vertices of each triangle explain whether the two triangles are congruent, similar or neither.

anonymous · Answer

Graphing these and then examining the graph would be the simplest way to achieve an answer. But I could show you how to work it all out algebraically if you want. 

First just tell me if you want a graph of them or if you want me to explain it step-by-step