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).

Answer 1

Someone help me on this!!!

Answer 2

What is the question?

Answer 3

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

Answer 4

There is a postulate Side Side Side (SSS) That says, I'm paraphrasing, that if all the sides of two triangles are congruent then the triangles must be congruent.

The first thing that comes to mind is use the distance formula between each point, so getting the length of each side of each triangle and seeing if that postulate holds true. I can't think of something easier.

Answer 5

\[d=\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\]

Answer 6

Have you drawn a picture yet? pictures always help

Answer 7

No i didnt think of doing a picture but i will do that.

Answer 8

I just drew a picure myself and I can already tell that the triangles are not going to be congruent. but we need to come up with a better explanatiion then "They just don't look like they are"

Answer 9

What class is this for so I can align my thinking with what you are studying.

Answer 10

Geometry Honors

Answer 11

I was never good at Geometry and its been 3 years so we'll have to brainstorm together and somebody more knowledgable in this subject helps.

Answer 12

Bases on the drawing one triangle is obtuse and one is not. But that is not really a proof

Answer 13

the other appears acute

Answer 14

Do you have to write up a geometry proof using postulates and stuff like that