Triangle ABC has coordinates A(-4,-2), B(0,-2), and C(-4,1).

Question

Triangle DEF has coordinates D(3,6), E(3,2), and F(0,2).

Use coordinate geometry to determine if these two triangles are congruent. If they are not congruent, state the reason.
A: The triangles are congruent.

B: The triangles are not congruent because corresponding angles are not congruent.

C: The triangles are similar but they are not congruent.

D: The triangles are not congruent because corresponding sides are not congruent.

Can someone please teach me how to do this

Answer 1

You could go through the math of finding the side lengths of all six sides, and comparing them, but these are easy to figure out if you just plot the points.

Then its easy to see that ABC is a 3-4-5 right triangle.

Now take a look at DEF.

Answer 2

Ccw