Triangles △PQR and △XYZ are plotted in a coordinate plane wi...

Question

Triangles △PQR and △XYZ are plotted in a coordinate plane with the following vertices:

P(2, 3), Q(6, 7), R(10, 3)

X(1, -2), Y(5, 2), Z(9, -2)

Using the distance formula:

determine whether △PQR ≅ △XYZ.

Which of the following is true?

A

△PQR ≅ △XYZ by SSS

B

△PQR and △XYZ are similar but not congruent

C

△PQR and △XYZ have the same perimeter but are not congruent

D

More information is needed to conclude congruence