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, 4), B(-2, -1), and C(3, -2). The vertices of triangle PQR are at P(-3, 0), Q(-2, -4), and R(2, 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(1, 4), B(-2, -1), and C(3, -2). The vertices of triangle PQR are at P(-3, 0), Q(-2, -4), and R(2, 3). 
 
Using the coordinates of the vertices of each triangle explain whether the two triangles are congruent, similar or neither.

anonymous · Answer

@Callisto can u help?

callisto · Answer

Can you find all the length of the sides of the triangles first?

callisto · Answer

$$length = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}$$

anonymous · Answer

sorry, doing multiple problems. hang on let me do it really quick.

anonymous · Answer

NM, I got the answer. thank you.

callisto · Answer

welcome :|