describe the transformation that changes the triangle on the left to the one on the right.
- rotation
- translation
- reflection
- none of the above
To determine the transformation that changes the triangle on the left to the one on the right, we can analyze the given options and assess each transformation.
1. Rotation: A rotation involves pivoting a shape around a fixed point. It may be clockwise or counterclockwise. To determine if a rotation was applied, compare the angles of the corresponding vertices in both triangles. If the angles are the same, a rotation is likely. If the angles are different, a rotation may not be the transformation.
2. Translation: A translation involves moving a shape without changing its size or shape. It is a shift of the entire shape in a particular direction. Analyze the positions of the corresponding vertices in both triangles. If all vertices have the same relative position in both triangles (e.g., the top vertex of the left triangle corresponds to the top vertex of the right triangle), a translation could be the transformation applied.
3. Reflection: A reflection involves mirroring a shape across a line, resulting in a flipped version of the original shape. To determine if a reflection was applied, analyze the orientation of the corresponding edges in both triangles. If the edges are parallel and have the same length, but one triangle is flipped compared to the other, a reflection may have been used.
4. None of the above: If none of the three transformations (rotation, translation, reflection) seem to have been applied, it suggests that the triangles have been altered in a different manner that is not consistent with these standard transformations.
By comparing the given triangles based on the explanation provided, you should be able to determine the transformation that was applied.
To determine the transformation that changes the triangle on the left to the one on the right, we can analyze the differences between the two triangles.
Looking at the position of the vertices, we can observe that the triangle on the right has shifted to the left and down compared to the one on the left. This indicates a translation has occurred.
Since there is no change in orientation, we can rule out rotation.
Furthermore, we can also rule out reflection as there is no mirror image relationship between the two triangles.
Therefore, the correct answer is:
- Translation