Answer:
here
Explanation:
A. Rotate triangle R 180° clockwise around the origin and then reflect the image across the y-axis.
- This sequence of transformations would not make triangle R coincide with triangle S because a 180° clockwise rotation followed by a reflection across the y-axis would result in a different orientation of the triangle.
B. Rotate triangle R 90° clockwise around the origin.
- A 90° clockwise rotation alone would not be enough to make triangle R coincide with triangle S. This transformation does not preserve the side lengths and angles of the triangle.
C. Rotate triangle R 180° clockwise around the origin.
- A 180° clockwise rotation alone would make triangle R coincide with triangle S. This transformation preserves the side lengths and angles of the triangle.
D. Rotate triangle R 90° clockwise around the origin and then translate the image right 3 units.
- This sequence of transformations would not make triangle R coincide with triangle S because a 90° clockwise rotation followed by a translation would result in a different position and orientation of the triangle.
Therefore, the correct sequence of transformations that can be performed on triangle R to show that it is congruent to triangle S is:
- Rotate triangle R 180° clockwise around the origin.
By performing this rotation, triangle R will overlap perfectly with triangle S, confirming that they are congruent.