Question

Which pair of triangles can be shown to be congruent using rigid motions? Select congruent or not congruent for each pair of triangles.

Answer 1

ABC and UVW are congruent.

ABC and GHJ are not congruent.

GHJ and PQR are not congruent.

PQR and UVW are congruent.

Here, the three triangles are congruent as they are the same size and shape. But only GHJ is not similar to others as it has a different size.

Two triangles are congruent irrespective of any rigid motion they undergo, if they have the same shape and size.

Answer 2

Congruent, Not Congruent, Not Congruent, Congruent

Explanation:

Each of the triangles can be shown congruent through rigid transformations except GHJ because GHJ is the same shape but not the same size. The other triangles are all the same shape and same size. Therefore they are congruent.