Bella wants to use rigid transformations to show that triangle GHI= Triangle LKJ to illustrate the SSS triangle congruence criterion. Which of the following could she do first?

A. Translate triangle GHI along a vector that takes point G to point J
B. Translate GHI along a vector that takes point I to point L
C. Translate triangle GHI along a vector that takes point I to point K
D. Translate triangle GHI along a vector that takes point G to point L

1 answer

To use rigid transformations to show that triangle GHI is congruent to triangle LKJ via the SSS (Side-Side-Side) triangle congruence criterion, she should aim to position triangle GHI such that the corresponding sides match with triangle LKJ.

Given that:

  • G should terminate at J,
  • H should correspond with K,
  • I should align with L.

The choice that aligns with moving point G to point J (which is one of the corresponding points in the triangles) is:

A. Translate triangle GHI along a vector that takes point G to point J.

This transformation will help in positioning triangle GHI correctly in relation to triangle LKJ so that the corresponding sides can be compared and shown to be congruent.