Triangles △ABC and △DEF are placed in a coordinate plane, wh...

Question

Triangles △ABC and △DEF are placed in a coordinate plane, where:

- A(1, 2), B(4, 6), C(7, 2)

- D(3, -1), E(6, 3), F(9, -1)

To determine whether △ABC ≅ △DEF, we compute the side lengths using the distance formula:

After performing the calculations, which of the following conclusions is correct?

A

△ABC ≅ △DEF by SSS

B

△ABC and △DEF are similar but not necessarily congruent

C

△ABC and △DEF have the same perimeter but are not congruent

D

More information is needed to conclude congruence