What transformation was applied to triangle STU to create the image?
To determine what transformation was applied to triangle STU to create the image, we need to analyze the differences between the two triangles. Here's how you can go about it:
1. Compare the corresponding sides of the two triangles. Measure the lengths of segments ST, TU, and US in both the original triangle STU and the image.
- If all three corresponding side lengths remain the same, then there is no transformation applied to the triangle.
- If any two corresponding side lengths remain the same while one side length changes, then it indicates a dilation or a scale factor change.
- If all three side lengths change, then it could indicate a combination of transformations, such as a combination of translation, rotation, or reflection.
2. Compare the corresponding angles of the two triangles. Measure the angles ∠STU, ∠TUS, and ∠UST in both the original triangle STU and the image.
- If all three corresponding angles remain the same, then there is no transformation applied to the triangle.
- If any two corresponding angles remain the same while one angle changes, then it indicates a rotation.
- If all three angles change, then it indicates a reflection.
3. Examine if the image is a congruent or similar triangle to the original triangle.
- If the image is a congruent triangle, then the transformation could be a translation, reflection, or rotation.
- If the image is a similar triangle, then the transformation could be a dilation or a combination of transformations.
By analyzing the differences in the corresponding sides, angles, and congruency/similarity of the triangles, you should be able to determine what transformation was applied to triangle STU to create the image.