Question
What two transformations need to be perfomed to show that the triangles are congruent?
(2 points)
Responses
Translation
Translation
Rotation
Rotation
Dilation
Dilation
Reflection
(2 points)
Responses
Translation
Translation
Rotation
Rotation
Dilation
Dilation
Reflection
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the two transformations needed to show that two triangles are congruent, you typically consider the properties of congruence and the specific positioning of the triangles.
1. **Translation**: This transformation shifts the triangle without resizing or rotating it. It can help align triangles that are in different positions in the plane.
2. **Rotation**: This transformation turns the triangle around a specific point, bringing it into the correct orientation to match the other triangle.
If the triangles are already the same size and shape but just in different positions or orientations, the combination of a **translation** followed by a **rotation** is often sufficient to demonstrate congruence.
Based on these transformations, the best answer would likely be:
**Translation**
**Rotation**
1. **Translation**: This transformation shifts the triangle without resizing or rotating it. It can help align triangles that are in different positions in the plane.
2. **Rotation**: This transformation turns the triangle around a specific point, bringing it into the correct orientation to match the other triangle.
If the triangles are already the same size and shape but just in different positions or orientations, the combination of a **translation** followed by a **rotation** is often sufficient to demonstrate congruence.
Based on these transformations, the best answer would likely be:
**Translation**
**Rotation**
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