Question
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
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
Answers
GPT-4o mini
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.
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.