Question
Bella wants to use rigid transformations to show that \(\triangle GHI\cong\triangle LKJ\) to illustrate
the SSS triangle congruence criterion. Which of the following could she do first?
(1 point)
Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).
Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(J\).
Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(K\).
Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(L\).
the SSS triangle congruence criterion. Which of the following could she do first?
(1 point)
Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).
Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(J\).
Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(K\).
Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(L\).
Answers
GPT-4o mini
To show that \(\triangle GHI \cong \triangle LKJ\) using rigid transformations and the SSS triangle congruence criterion, the first step should be to align one vertex of \(\triangle GHI\) with a corresponding vertex of \(\triangle LKJ\).
In this case, the best choice to begin with would be to align a specific vertex of triangle \(GHI\) with the corresponding vertex of triangle \(LKJ\).
If you consider the options given:
1. Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).
2. Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(J\).
3. Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(K\).
4. Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(L\).
Since we want to start aligning corresponding vertices, one good option could be the **first** choice: **Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\)**. This action would place point \(I\) at the corresponding position of point \(L\) in triangle \(LKJ\).
After this initial translation, Bella could then apply additional transformations as needed to align the rest of the triangle, confirming that the triangles are congruent based on their side lengths.
Therefore, the best first move would be:
**Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).**
In this case, the best choice to begin with would be to align a specific vertex of triangle \(GHI\) with the corresponding vertex of triangle \(LKJ\).
If you consider the options given:
1. Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).
2. Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(J\).
3. Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(K\).
4. Translate \(\triangle GHI\) along a vector that takes point \(G\) to point \(L\).
Since we want to start aligning corresponding vertices, one good option could be the **first** choice: **Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\)**. This action would place point \(I\) at the corresponding position of point \(L\) in triangle \(LKJ\).
After this initial translation, Bella could then apply additional transformations as needed to align the rest of the triangle, confirming that the triangles are congruent based on their side lengths.
Therefore, the best first move would be:
**Translate \(\triangle GHI\) along a vector that takes point \(I\) to point \(L\).**